We provide motion in a straight line practice exercises, instructions, and a learning material that allows learners to study outside of the classroom. We focus on motion in a straight line skills mastery so, below you will get all questions that are also asking in the competition exam beside that classroom.

#### List of motion in a straight line Questions

Question No | Questions | Class |
---|---|---|

1 | A body of mass ( 5 k g ) starts motion form the origin with an initial velocity ( vec{u}= ) ( (30 hat{i}+40 hat{j}) m s^{-1} ) If a constant force ( vec{F}=-(-hat{6} i-5 hat{j}) N ) acts on the body than the time in which the Y-component of the velocity becomes zero is ( mathbf{A} cdot 5 s ) в. ( 20 s ) ( c .40 s ) D. 80 | 11 |

2 | and ( B ) inside a sphere of radius ( R . A ) small ball slips along wire. The time taken by the ball to slip from ( boldsymbol{A} ) to ( boldsymbol{B} ) will be: A ( frac{2 sqrt{g r}}{g cos theta} ) ( frac{2 sqrt{g R cos theta}}{g} ) ( mathbf{c} cdot 2 sqrt{R / g} ) D. ( frac{g R}{sqrt{g cos theta}} ) | 11 |

3 | The position of a particle moving along ( mathbf{x} ) -axis given by ( boldsymbol{x}=left(-mathbf{2} boldsymbol{t}^{3}+mathbf{3} boldsymbol{t}^{2}+mathbf{5}right) boldsymbol{m} ) The acceleration of particle at the instant its velocity becomes zero is A ( cdot 12 mathrm{m} / mathrm{s}^{2} ) B . ( -12 mathrm{m} / mathrm{s}^{2} ) c. ( -6 m / s^{2} ) D. zero | 11 |

4 | A particle has an initial velocity of ( 3 hat{i}+4 hat{j}) mathrm{m} / mathrm{s} ) and a constant acceleration of ( (4 hat{i}-3 hat{j}) m / s^{2} . ) Its speed after one second will be equal to: A. 0 B. ( 7 sqrt{2} frac{m}{s} ) c. ( sqrt{50} frac{m}{s} ) D. 25 m/sec | 11 |

5 | The position of a body moving along the x-axis at time ( t ) is given by ( t^{2}-4 t+6 ) The distance traveled by body in time interval ( t=0 ) to ( t=3 s ) is A. ( 5 m ) в. ( 7 m ) c. ( 4 m ) D. ( 3 m ) | 11 |

6 | A ball is thrown vertically upwards. It returns ( 6 s ) later. Calculate: ( (i) ) the greatest height reached by the ball, and ( (i i) ) the initial velocity of the ball. (Take ( boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2} mathbf{)} ) A ( cdotleft(text { i) } 40 m, text { (ii) } 30 m s^{-1}right. ) B. (i) ( 45 mathrm{m}, ) (ii) ( 30 mathrm{m} s^{-1} ) ( mathbf{c} cdot(mathbf{i}) 45 m,left(text { i) } 60 m s^{-1}right. ) D. (i) ( 45 m ), (ii) ( 20 m s^{-1} ) | 11 |

7 | Explain with proper examples – ‘Motion is relative. | 11 |

8 | A body of mass ( 1 mathrm{kg} ) falls freely form a height of ( 100 mathrm{m}, ) on a platform of mass 3 kg which is mounted on a spering having spering constant ( mathrm{k}=1.25 ) ( times 10^{6} N / m . ) The body sticks to the platform and the spring’s maximum compression is found to be ( x ). Given that ( mathrm{g}=10 mathrm{m} mathrm{s}^{-2}, ) the value of ( mathrm{x} ) will be close to : A. ( 4 mathrm{cm} ) B. ( 8 mathrm{cm} ) ( c cdot 80 mathrm{cm} ) D. 40 cm | 11 |

9 | A body moves in a straight line along ( Y- ) axis. Its distance ( y ) (in metre) from the origin is given by ( y=8 t-3 t^{2}(t ) in seconds. The average speed in the time interval from ( t=0 ) second to ( t=2 ) second is ( mathbf{A} cdot 1 mathbf{m} mathbf{s}^{-1} ) в. zero ( mathrm{c} cdot 2 mathrm{ms}^{-1} ) D. ( frac{22}{3} mathrm{ms}^{-1} ) | 11 |

10 | A boat moves with a speed of ( 5 k m / h ) relative to water in a river flowing with a speed of ( 3 k m / h ) and a width of ( 1 k m ) The minimum time taken around a round trio is ( mathbf{A} cdot 5 ) minutes B. 20 minutes c. 30 minutes D. 60 minutes | 11 |

11 | (ms) 7. Velocity versus displacement graph of a particle moving in a straight line is shown in Fig. A.5. The corresponding acceleration versus velocity graph will be 10- 10 s(m) Fig. A.5 am s-2) a(m2) 10 —- 10 — 10 vím s-‘) a. 10 víms!) b. Aa(ms)-2 A am s)-2 101 10 vím s-) cv(m s- | 11 |

12 | A particle is moving on a straight line path with constant acceleration directed along the direction of instantaneous velocity. Which of following statements are false about the motion of particle? A. Particle may reverse the direction of motion B. Distance covered is not equal to magnitude of displacement c. The magnitude of average velocity is less than average speed D. All the above | 11 |

13 | A particle ( A ) is moving towards North with an acceleration of ( 5 m s^{-2} ) and particle ( B ) is moving North-East direction with an acceleration of ( 5 sqrt{2} m s^{-2} . ) Find relative acceleration of particle ( A ) with respect to particle ( B ) | 11 |

14 | A ball after having fallen from rest under the influence of gravity for ( 6 s ) crashes through a horizontal glass plate, thereby losing two-third of its velocity. Then it reaches the ground in ( 2 s, ) height of the plate above the ground is ( mathbf{A} cdot 19.6 m ) B. ( 39.2 m ) c. ( 58.8 m ) D. ( 78.4 m ) | 11 |

15 | 11. The ratio of t, and t2 is nearly a. 5:2 b. 3:1 c. 3:2 d. 5:3 1 T eam 1 | 11 |

16 | Positive slope of displacement time graph implies A. that the body is moving away from the reference point B. that the body is moving towards the reference point c. that the body is at rest D. nothing as particular | 11 |

17 | 8. Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m/s. If their acceleration are 0.3 m/s2 and 0.2 m/s2 respectively, then the time they take to pass each other will be (a) 55 (b) 10 s (c) 15 s (d) 20 s | 11 |

18 | What is the velocity of vertically projected body at its maximum height ( (h) ? ) A ( cdot sqrt{2 g h} ) B. zero c. ( frac{h^{2}}{g} ) D. ( sqrt{frac{2 h}{g}} ) | 11 |

19 | Two friends ( A ) and ( B ) are standing a distance ( x ) apart in an open field and wind is blowing from ( A ) to ( B ). A beats a drum and B hears the sound ( t_{1} ) time after he sees the event. A and B interchange their positions and the experiment is repeated. This time B hears the drum ( t_{2} ) time after he sees the event. Calculate the velocity of sound in still air v and the velocity of wind u. Neglect the time light takes in travelling between the friends. A ( cdot frac{1}{2}left(frac{1}{t_{1}}+frac{1}{t_{2}}right), frac{x}{2}left(frac{1}{t_{1}}-frac{1}{t_{2}}right) ) B. ( frac{x}{2}left(frac{1}{t_{1}}+frac{1}{t_{2}}right), frac{x}{2}left(frac{1}{t_{1}}-frac{1}{t_{2}}right) ) ( ^{mathbf{c}} cdot frac{x}{2}left(frac{1}{t_{1}}+frac{1}{t_{2}}right), frac{3 x}{2}left(frac{1}{t_{1}}-frac{1}{t_{2}}right) ) D. ( frac{3 x}{2}left(frac{1}{t_{1}}+frac{1}{t_{2}}right), frac{x}{2}left(frac{1}{t_{1}}-frac{1}{t_{2}}right) ) | 11 |

20 | 26. The distance travelled with uniform velocity is a. 375 m b. 125 m c. 300 m d. 450 m | 11 |

21 | A body is allowed to fall from a height of ( 98 mathrm{m} ) before hitting the ground the distance travelled by it in the last second of motion ( left(boldsymbol{g}=mathbf{9} . mathbf{8 m} boldsymbol{s}^{-2}right) ) is ( A .38 m ) в. ( 40 m ) ( c .50 m ) D. ( 29 m ) | 11 |

22 | The displacement of a particle starting from rest ( (a t t=0) ) is given by ( s= ) ( 6 t^{2}-t^{3} . ) The time at which the particle will attain zero velocity again is A . ( 4 s ) B. 8 s ( c cdot 12 s ) D. 16 ( s ) | 11 |

23 | 5. A balloon rises from rest on the ground with constant acceleration 1 ms.A stone is dropped when the balloon has risen to a height of 39.2 m. Find the time taken by the stone to reach the ground. | 11 |

24 | An object may appear moving to one person and at rest to another person at the same time Justify giving an example. | 11 |

25 | The figure shows the velocity ( (v) ) of ( a ) particle plotted against time ( (t) ) This question has multiple correct options A. The particle changes its direction of motion at some point B. The acceleration of the particle remains constant C. The displacement of the particle is zero D. The initial and final speeds of the particle are the ( operatorname{san} ) | 11 |

26 | A body thrown vertically up reaches a maximum height of 50 m. Another body with double the mass is thrown up with double the initial velocity will reach a maximum height of : A . ( 100 mathrm{m} ) B. 200 ( mathrm{m} ) c. ( 400 mathrm{m} ) D. 50 ( m ) | 11 |

27 | ( frac{k}{k} ) | 11 |

28 | A particle moves with uniform velocity. Which of the following statements about the motion of the particle is true? A. Its speed is zero. B. Its acceleration is zero c. Its acceleration is opposite to the velocity D. Its speed may be variable | 11 |

29 | If a body is projected with speed greater than escape speed ( v_{e} ) from the surface of earth, find its speed in interstellar space. | 11 |

30 | An object starts ( 5 mathrm{m} ) from origin and moves with an initial velocity of ( 5 m s^{-1} ) and has an acceleration of ( 2 m s^{-2} ). After 10 sec, the object is how far from the origin? A. ( 150 mathrm{m} ) B. 145 ( mathrm{m} ) c. ( 155 mathrm{m} ) ( D cdot 55 mathrm{m} ) | 11 |

31 | 4. Mark the correct statement(s). a. A particle can have zero displacement and non-zero average velocity. b. A particle can have zero displacement and non-zero velocity. c. A particle can have zero acceleration and non-zero velocity. d. A particle can have zero velocity and non-zero acceleration. At time i n a car moving along a straight line has a | 11 |

32 | ( underbrace{begin{array}{l}a \ 0end{array}} ) ( = ) | 11 |

33 | A body is dropped from a height ( 39.2 m ) After it crosses the half distance, the acceleration due to gravity ceases to act. Then the body will hit the ground with a velocity of (Take ( boldsymbol{g}=mathbf{9 . 8} mathbf{m s}^{-mathbf{2}} mathbf{)} ) ( mathbf{A} cdot 19.6 mathrm{ms}^{-1} ) В. ( 20 m s^{-1} ) c. ( 1.96 mathrm{ms}^{-1} ) D. ( 196 mathrm{ms}^{-1} ) | 11 |

34 | A ball is dropped from a height. If it takes 0.200 ss to cross the last ( 6.00 m ) before hitting the ground, find the height from which it is dropped. Take ( boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2} ) | 11 |

35 | A car accelerates from rest at ( 5 m / s^{2} ) and then retards to rest at ( 3 m / s^{2} . ) The maximum velocity of the car is ( 30 m / s ) The distance covered by the car is A . ( 150 mathrm{m} ) B. 240 m c. ( 300 mathrm{m} ) D. 360 ( m ) | 11 |

36 | Position-time graph is shown, which is a semicircle from ( t=2 ) to ( t=8 ) sec. Find time ( t ) at which the instantaneous velocity, is equal to average velocity over first ( t ) seconds A . ( 4.8 mathrm{sec} ) B. 3.2 sec ( c .2 .4 mathrm{sec} ) D. 5 sec | 11 |

37 | A ball is dropped from a cliff. Find (a) its speed ( 2 s ) after it is dropped (b) its speed when it has fallen through ( 78.4 m, ) and (c) the time taken in falling through ( mathbf{7 8 . 4 m} ) | 11 |

38 | A body,thrown vertically upwards with an initial velocity ( u, ) reaches maximum height in 6 seconds. The ratio of the distance travelled by body in the first second and the eleventh second is: A . 1: 1 B. 11: 9 c. 1: 2 D. 9: 11 | 11 |

39 | ( mathbf{1} boldsymbol{k} boldsymbol{m} / boldsymbol{h} boldsymbol{r}=dots dots dots dots dots ) A ( cdot frac{18}{5} ) в. ( frac{5}{18} ) c. ( frac{15}{18} ) D. ( frac{18}{15} ) | 11 |

40 | In the case of a moving body, pick the correct statement A. if speed changes with change in direction, velocity does not change B. if velocity changes, speed may or may not change but acceleration does change C. if velocity changes, speed also changes with same acceleration D. if speed changes without change in direction, the velocity may remain constant | 11 |

41 | State whether given statement is True or False. The motion of a giant wheel is a circular motion | 11 |

42 | The two ends of a train moving with uniform acceleration pass a certain point with velocities 6 kmph and 8 kmph respectively. What is the velocity with which the middle point of the train passes the same point? ( A .7 mathrm{kmph} ) B. ( 2 sqrt{5} ) kmph c. ( 2 sqrt{10} mathrm{kmph} ) D. 7.5 kmph | 11 |

43 | The acceleration of Particle starting from rest and moving along a straight line is as shown. Other than at ( t=0 ) when is the velocity of the object equal to zero? A. At ( t=3.5 s ) B. During the interval from ( 1 s ) to 3 s C. At ( t=5 s ) D. At no other time on this graph | 11 |

44 | A lift is moving up with acceleration a. ( A ) person inside the lift throws the ball upwards with a velocity u relative to hand. What is the time of flight of the ball? A ( cdot frac{2 u}{(g+a)} ) в. ( frac{u}{(g+a)} ) c. ( frac{u}{2(g+a)} ) D. ( frac{2 u}{(g-a)} ) | 11 |

45 | A body thrown vertically up reaches a maximum height of 50 m. Another body with double the mass thrown up with double the initial velocity will reach a maximum height of : A . ( 100 mathrm{m} ) B. 200 ( mathrm{m} ) c. ( 400 mathrm{m} ) D. 50 ( m ) | 11 |

46 | 30. A body sliding on a smooth inclined plane requires 4 s to reach the bottom, starting from rest at the top. How much time does it take to cover one-fourth the distance starting from rest at the top? a. is a b. 2. c. 45 d. 165 | 11 |

47 | A ball is shot vertically upward with a given initial velocity. It reaches a maximum height of ( 100 mathrm{m} ). If on a second shot, the initial velocity is doubled then the ball will reach a maximum height of ( A .70 .7 mathrm{m} ) B. ( 141.4 mathrm{m} ) c. ( 200 mathrm{m} ) D. ( 400 mathrm{m} ) | 11 |

48 | Given that ( x= ) displacement at time ( t ) and p,q,r are constants. Which of the following represents the motion with constant non zero acceleration? A ( . x=p t-1+q t^{2} ) B. x=qt c. ( x=p t+q t^{2} ) D. ( x=p t+q t^{2}+r t^{3} ) | 11 |

49 | A body dropped from the top of a tower cover a distance ( 9 x ) in the last second of its journey where ( x ) is the distance covered in the first second. How much time does it take to reach the ground? A. 3 sec B. 4 4 sec ( c .5 s e c ) D. 6 sec | 11 |

50 | 11. A particle starts from the origin with a velocity of 10 ms! and moves with a constant acceleration till the velocity increases to 50 ms. At that instant, the acceleration is suddenly reversed. What will be the velocity of the particle, when it returns to the starting point? a. Zero b. 10 ms” c. 50 ms- d. 70 ms? | 11 |

51 | Two particles are moving with velocities ( V_{1} ) and ( V_{2} . ) Their relative velocity is the maximum, when the angle between their velocities is : A. zero в. ( pi / 4 ) c. ( pi / 2 ) D. | 11 |

52 | Time taken by the ball to reach the ground after crossing the elevator. | 11 |

53 | Consider a jet traveling at ( 1000 mathrm{km} / mathrm{hr} ). If the jet shoots a laser in the same direction it is traveling, how fast will the laser be traveling relative to the ground? A. ( 300,000 mathrm{km} / mathrm{sec} ) B. 300,000 km/sec plus 1000 km/hr c. ( 300,000 mathrm{km} / mathrm{sec} ) minus ( 1000 mathrm{km} / mathrm{hr} ) D. 1000 km/hr minus 300,000 km/sec E. cannot be determined with information providede | 11 |

54 | When two bodies move uniformly towards each other, the distance decreases by ( 6 m s^{-1} ). If both bodies move in the same direction with the same speed as above the distance between them increases by ( 4 m s^{-1} ) Then the speed of the two bodies are ( mathbf{A} cdot 3 m s^{-1} ) and ( 3 m s^{-1} ) B. ( 4 m s^{-1} ) and ( 2 m s^{-1} ) ( mathbf{c} cdot 5 m s^{-1} ) and ( 1 m s^{-1} ) D. ( 7 m s^{-1} ) and ( 3 m s^{-1} ) | 11 |

55 | Which of the following is not vector quantity? A. Retardation B. Acceleration due to gravity c. Average speed D. Displacement | 11 |

56 | The co-ordinates of a particle restricted to move in a plane is given by ( boldsymbol{X}=boldsymbol{6} cos pi boldsymbol{t} ) ( boldsymbol{y}=1-4 cos 2 pi t ) The magnitude of acceleration of particle at ( t=1.5 s ) is (where ( x ) and ( y ) are in meter and ( t ) is in seconds) A. Zero В. ( 6 pi^{2} m / s^{2} ) c. ( 16 pi^{2} mathrm{m} / mathrm{s}^{2} ) D. ( 8 pi^{2} m / s^{2} ) | 11 |

57 | A body falls freely from rest. If at an instant, the velocity acquired is numerically equal to the displacement, then the velocity acquired is: A. ( 9.8 mathrm{m} / mathrm{s} ) B. ( 19.6 mathrm{m} / mathrm{s} ) c. ( 29.4 mathrm{m} / mathrm{s} ) D. ( 39.2 mathrm{m} / mathrm{s} ) | 11 |

58 | A car is moving with speed ( 30 m s^{-1} ) on a circular path of radius ( 500 mathrm{m} ). Its speed is increasing at a rate of ( 2 m s^{-2}, ) what is the acceleration of the car? A ( cdot 2 m s^{-2} ) B. ( 2.7 m s^{-2} ) c. ( 1.82 m s^{-2} ) D. ( 9.82 m s^{-2} ) | 11 |

59 | Illustration 4.24 A balloon starts rising upwards with constant acceleration a and after time to second, a packet is dropped from it which reaches the ground after 1 seconds of dropping (Fig. 4.34). Determine the value of t. 91- Fig. 4.34 | 11 |

60 | Two trains each of length ( 100 m ) moving parallel towards each other at speed ( mathbf{7} 2 k boldsymbol{m} / boldsymbol{h} ) and ( boldsymbol{3} boldsymbol{6} boldsymbol{k} boldsymbol{m} / boldsymbol{h} ) respectively. In how much time will they cross each other? ( mathbf{A} cdot 4.5 S ) B. ( 6.67 s ) ( c .3 .5 s ) D. ( 7.25 s ) | 11 |

61 | Assertion Distance and displacement are different physical quantities. Reason Distance and displacement have same dimension. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion is incorrect and Reason is correct | 11 |

62 | 31. B1, B2, and B, are three balloons ascending with velocities v, 2v, and 3v, respectively. If a bomb is dropped from each when they are at the same height, then a. Bomb from B, reaches ground first b. Bomb from B, reaches ground first c. Bomb from B2 reaches ground first d. They reach the ground simultaneously | 11 |

63 | The displacement-time graphs of two particles ( A ) and ( B ) are straight lines making angles of respectively ( 30^{0} ) and ( 60^{0} ) with the time axis. If the velocity of ( A ) is ( v_{A} ) and that of ( B ) is ( v_{B}, ) then value of ( frac{boldsymbol{v}_{boldsymbol{A}}}{boldsymbol{v}_{boldsymbol{B}}} ) is: A. ( 1 / 2 ) B. ( 1 / sqrt{3} ) ( c cdot sqrt{3} ) D. ( 1 / 3 ) | 11 |

64 | A particle experiences constant acceleration for ( 20 s ) after starting from rest. If it travels a distance ( X_{1} ), in the first ( 10 s ) and distance ( X_{2}, ) in the remaining ( 10 s, ) then which of the following is true? ( mathbf{A} cdot X_{1}=2 X_{2} ) В. ( X_{1}=X_{2} ) ( mathbf{c} cdot X_{1}=3 X_{2} ) D. None of these | 11 |

65 | A body of mass ( 40 mathrm{kg} ) resting on rough horizontal surface is subjected to a force ( P ) which is just enough to start the motion of the body. If ( mu_{s}=5, mu_{k}= ) ( mathbf{0 . 4}, boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}, ) and the force ( P ) is continuously applied on the body, then the acceleration of the body is? A. zero B . ( 1 m / s^{2} ) ( mathrm{c} cdot 2 m / s^{2} ) D. ( 2.4 m / s^{2} ) | 11 |

66 | Consider the following ( v_{x}=t ) graph to be parabolic. Plot the acceleration-time graph and analyze the motion of the particle from A to E. | 11 |

67 | A stone is thrown upwards and it rises to a height of ( 200 m ). The relative velocity of the stone with respect to the earth will be maximum at : A. Height of ( 100 m ) B. Height of ( 150 m ) c. Highest point D. The ground | 11 |

68 | Two balls are dropped from different heights at different instants. Second ball is dropped 2 sec after the first ball. If both balls reach the ground simutlanously after 5 sec of dropping the first ball, the difference of initial heights of the two balls will be: ( (g= ) ( 9.8 m / s^{2} ) ( mathbf{A} cdot 58.8 m ) B. ( 78.4 m ) c. ( 98.0 m ) D. ( 117.6 m ) | 11 |

69 | Two masses as shown are suspended from a massless pulley. Calculate the acceleration of the 10 kg mass when masses are left free ( mathbf{A} cdot frac{2 g}{3} ) B. ( frac{g}{3} ) c. ( frac{g}{9} ) ( D cdot underline{g} ) | 11 |

70 | To parallel rail track an north south. Train ( A ) moves north with a speed of ( mathbf{5 4} k boldsymbol{m} / boldsymbol{h} ) and train ( boldsymbol{B} ) moves south with a speed of ( 90 mathrm{km} / mathrm{h} ). What is the Velocity of ( B ) with respect to capital ( A ? ) Velocity of ground with respect to ( B ) ? Velocity of monkey running on the roof of train ( A ) against its motion with a velocity of ( 18 mathrm{km} / mathrm{h} ) with respect to the ( operatorname{train} A ) as observe by man standing on the ground? | 11 |

71 | With what speed should a bus travel so that it can cover a distance of ( 10 mathrm{km} ) in 5 ( min ? ) ( A cdot 60 mathrm{km} / mathrm{hr} ) B. 10 km/hr c. ( 12 mathrm{km} / mathrm{hr} ) D. 120 km/hr | 11 |

72 | A moving carrom board coin describes a motion A. rectilinear B. rotatory c. periodic D. oscillatory | 11 |

73 | A body is dropped from certain height H. If the ratio of the distances travelled by it in ( (n-3) ) seconds to ( (n-3)^{r d} ) second is ( left.4: 3, text { find } H . text { (Take } g=10 mathrm{m} s^{-2}right) ) A. ( 75 mathrm{m} ) B. 100 ( m ) c. ( 125 mathrm{m} ) D. 150 ( m ) | 11 |

74 | 9. The body will speed up if a. Velocity and acceleration are in the same direction. b. Velocity and acceleration are in opposite directions. c. Velocity and acceleration are in perpendicular direction. d. Velocity and acceleration are acting at acute angle W.r.t. each other. | 11 |

75 | A train is moving with uniform acceleration. The two ends of the train pass through a point on the track with velocity ( V_{1} ) and ( V_{2} . ) With what velocity the middle point of the train would pass through the same point? A ( cdotleft[frac{left(V_{1}^{2}+V_{2}^{2}right.}{2}right] ) B. ( frac{left(V_{1}^{2}-V_{2}^{2}right)}{2} ) ( c cdot frac{v_{1}+v_{2}}{2} ) ( D cdot frac{V_{1}-V_{2}}{2} ) | 11 |

76 | Rain is falling vertically and a man is moving with velocity ( 6 m s^{-1} ). Find the angle at which the man should hold his umbrella avoid getting wet. | 11 |

77 | Find the apparent weight of a man weight ( 49 mathrm{Kg} ) on earth where he is standing in a life which is irising with an acceleration of ( 1.2 m / s^{2} i i ) ) going with the same acceleration iii) falling freely the action gravity iv) going up down with uniform velocity. Given ( boldsymbol{g}=mathbf{9 . 8 m} / boldsymbol{s}^{2} ) | 11 |

78 | A body falls from a height of 200 m. If gravitational attraction ceases after 2 s, further time taken by it to reach the ground is ( left(boldsymbol{g}=mathbf{1 0} boldsymbol{m s}^{-2}right) ) A . ( 5 s ) B. ( 9 s ) c. ( 13 s ) D. 17 s | 11 |

79 | State whether given statement is True or False. The motion described by wire of sitar is a vibratory motion | 11 |

80 | if acceleration 1. For a particle moving along the x-axis, if accele (constant) is acting along negative x-axis, then mat entries of Column I with entries of Column II. Column I Column II Initial velocity >0 a. Particle may move in positive x-direction with increasing speed. ii. Initial velocity 0 Particle may move in negative x-direction with increasing speed. liv. x<0 Particle may move in negative x-direction with decreasing speed. | 11 |

81 | A ball is dropped from height ( h ) and another from ( 2 h . ) The ratio of time taken by the two balls to reach ground is: A. ( 1: sqrt{2} ) 2 ( : sqrt{2} cdot sqrt{2} cdot sqrt{2} ) B. ( sqrt{2}: 1 ) c. 2: 1 D. 1: 2 | 11 |

82 | If a car is travelling westwards with a constant speed of ( 20 m / s, ) what is the resultant force acting on it? ( A ) B. ( c cdot 2 ) D. 3 | 11 |

83 | If ( S_{n}=2+0.4 n, ) find initial velocity and acceleration A . 2.2 units, 0.4 units B. 2.1 units, 0.3 units c. 1.2 units, 0.4 units D. 2.2 units, 0.3 units | 11 |

84 | A velocity-time graph for a moving object is shown below. What would be the total displacement during time ( t= ) ( mathbf{0} ) to ( boldsymbol{t}=mathbf{6} boldsymbol{s} ? ) A. ( 10 mathrm{m} ) B. 20 m ( c .15 mathrm{m} ) D. ( 0.0 mathrm{m} ) | 11 |

85 | A point moves with uniform acceleration and ( boldsymbol{v}_{1}, boldsymbol{v}_{2} ) and ( boldsymbol{v}_{3} ) denote the average velocities in the three successive intervals of time ( t_{1}, t_{2} ) and ( t_{3} ) Which of the following relation is correct? ( mathbf{A} cdotleft(v_{1}-v_{2}right):left(v_{2}-v_{3}right)=left(t_{1}-t_{2}right):left(t_{2}+t_{3}right) ) ( mathbf{B} cdotleft(v_{1}-v_{2}right):left(v_{2}-v_{3}right)=left(t_{1}+t_{2}right):left(t_{2}+t_{3}right) ) ( mathbf{c} cdotleft(v_{1}-v_{2}right):left(v_{2}-v_{3}right)=left(t_{1}-t_{2}right):left(t_{1}-t_{3}right) ) ( mathbf{D} cdotleft(v_{1}-v_{2}right):left(v_{2}-v_{3}right)=left(t_{1}-t_{2}right):left(t_{2}-t_{3}right) ) | 11 |

86 | Given ( boldsymbol{V}=boldsymbol{t}^{2}+boldsymbol{2} boldsymbol{t}+boldsymbol{3} ) Find average speed between time interval ( t_{1} & t_{2} ? ) | 11 |

87 | If a ball is thrown up with a certain velocity. It attains a height of ( 40 mathrm{m} ) and comes back to the thrower, then A. Total distance covered by it is ( 40 mathrm{m} ) B. Total displacement covered by it is ( 80 mathrm{m} ) c. Total displacement is zero D. Total distance covered by it is zero | 11 |

88 | One body is dropped, while a second body is thrown downwards with an initial velocity of ( 1 mathrm{m} / mathrm{s} ) simultaneously the separation between these is ( 18 m ) after how much time? | 11 |

89 | While you are traveling in a car on a straight road at ( 90 k m / h, ) another car passes you in the same direction; its speedometer reads ( 120 k m / h ). What is your velocity relative to the other driver? (in ( mathrm{km} / mathrm{h}) ) A . 30 B. -30 ( c cdot 210 ) D. -210 | 11 |

90 | The following velocity-time graph shows the motion of a cyclist. Find (i) its acceleration, (ii) its velocity and (iii) the distance covered by the cyclist in 15 seconds. | 11 |

91 | Position-time graph for a particle is shown in the figure. Starting from ( t=0 ) at what time ( t, ) the average velocity is zero? 4.1 3.3 ( c .6 s ) 2.7 | 11 |

92 | The graphs below the position versus time for three differences cars 1,2 and 3 Rank these cars according the magnitudes of their velocities at the time “t” indicated on the graph, greatest first A .1,2,3 B. 1,3,2 c. 2,1,3 D. 3, 2, E. 3,1,2 | 11 |

93 | A body travels uniformly a distance of ( (13.7 pm 0.2) m, ) in time ( (4.0 pm 0.3) s ) The velocity of particle is? A ( .(3.45 pm 0.31) m / s ) в. ( (3.4 pm 0.3) mathrm{m} / mathrm{s} ) c. ( (3.68 pm 0.4) mathrm{m} / mathrm{s} ) D. ( (3.6 pm 0.42) mathrm{m} / mathrm{s} ) | 11 |

94 | Give few example where displacement of an object is in the direction opposite to the force acting on the object ( left(A S_{1}right) ) | 11 |

95 | The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is : ( A cdot 25 mathrm{Hz} ) B. 50 Н c. ( 12.25 mathrm{Hz} ) D. ( 33.3 mathrm{Hz} ) | 11 |

96 | Two persons each of mass m are standing at the two extremes of a railroad ear of mass ( M ) resting on a smooth track. The person on left jumps to the left with a horizontal speed ( u ) with respect to the state of the car before the jump. Thereafter, the other person jumps to the right, again with the same horizontal speed ( u ) with respect to the state of the car before his jump. Find the velocity of the car after both the persons have jumped off | 11 |

97 | U. TUND 1 10. The velocity acquired by a body moving with uniform acceleration is 30 ms’ in 2 s and 60 ms’ in 4 s. The initial velocity is a. zero b. 2 ms- c. 3 ms’ d. 10 ms- 11. Antinln atouto from the origin with a velocity of 10 m.-1 | 11 |

98 | A bus shuttles between two places connected by a straight road with uniform speed of ( 36 k m p h ). If it stops at each place for 15 minutes and the distance between the two places is ( 60 k m, ) then what is average value of velocity? A. ( 28.5 k m p h ) в. 28 втрь c. ( 27.5 k m p h ) D. ( 29.5 k m p h ) | 11 |

99 | 10. A train of length 1 = 350 m starts moving rectilinearly with constant acceleration a = 3.0 x 10 ms. Afta t = 30 s from start, the locomotive headlight is switched on (event 1), and 60 s after this event, the tail signal light is switched on (event 2). a. Find the distance between these events in the reference frame fixed to the train and to the Earth. b. How and at what constant velocity v relative to the Earth must a certain reference frame R move for the two events to occur in it at the same point? | 11 |

100 | A solid sphere and a spherical shell roll down on inclined plane from rest from same height.The ratio of the times taken by them is. A ( cdot sqrt{frac{21}{25}} ) B. 21/25 c. ( sqrt{frac{25}{21}} ) D. 25/21 | 11 |

101 | A shell of mass ( 10 mathrm{kg} ) is moving with a velocity of ( 10 m s^{-1} ) when it blasts and forms two parts of mass ( 9 mathrm{kg} ) and ( 1 mathrm{kg} ) respectively. If the 1 st mass is stationary, the velocity of the 2 nd is: ( mathbf{A} cdot 1 mathrm{m} / mathrm{s} ) B. 10 ( mathrm{m} / mathrm{s} ) c. ( 100 mathrm{m} / mathrm{s} ) D. ( 1000 mathrm{m} / mathrm{s} ) | 11 |

102 | The relation between time ( t ) and displacement ( x ) is ( t=alpha x^{2}+beta x, ) where ( alpha ) and ( beta ) are constant, find the relation between velocity and acceleration | 11 |

103 | 7. A car starts from rest and moves with uniforma a on a straight road from time t = 0 to ind moves with uniform acceleration aight road from time t = 0 to t = T. After that, a tant deceleration brings it to rest. In this process the average speed of the car is (a) I (b) 34T (C) GT (d) at | 11 |

104 | In a harbor, wind is blowing at the speed of ( 72 mathrm{km} / mathrm{h} ) and the flag on the mast of a boat anchored in the harbor flutters along the N-E direction. If the boat starts moving at as speed of ( 51 mathrm{km} / mathrm{h} ) to the north, what is the direction of the flag on the mast of the boat? | 11 |

105 | 3. A police jeep is chasing with, velocity of 45 km/h, a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is (a) 150 m/s (b) 27 m/s (c) 450 m/s (d) 250 m/s Ti. 1: | 11 |

106 | 3. The velocity-time graph of a body moving in a straight line is shown in the figure. The displacement and distance travelled by the body in 6 sec are respectively V(m/s) – 4 5 6 t(sec) (a) 8 m, 16 m (c) 16 m, 16 m (b) 16 m, 8 m (d) 8 m, 8 m | 11 |

107 | A particle starts moving from rest with uniform acceleration. It travels a distance ( X ) in the first three seconds and a distance ( Y ) in next three seconds, then : A. ( Y=x ) B. ( Y=3 x ) ( c cdot Y=2 x ) D. ( Y=4 x ) | 11 |

108 | A ball starts rolling on a horizontal surface with an initial velocity of ( 1 mathrm{m} / mathrm{s} ) Due to friction, its velocity decreases at the rate of ( 0.1 m / s^{2}, ) How much time will it take for the ball to stop? A . ( 1 mathrm{s} ) B. 100 s ( c cdot 10 s ) D. 0.1 s | 11 |

109 | The distance traveled by a body in ( I V^{t h} ) second is twice the distance traveled in ( I I^{n d} ) second. If the acceleration of the body is ( 3 m / s^{2}, ) then its initial velocity is ( ^{mathrm{A}} cdot frac{3}{2}^{m / s} ) в. ( frac{5}{2} m / s ) c. ( frac{7}{2}^{m / s} ) D. ( frac{9}{2} ) m ( / ) s | 11 |

110 | Acceleration of a body projected upwards with a certain velocity is A ( cdot 9.8 m / s^{2} ) B. ( -9.8 m / s^{2} ) c. zero D. Insufficient data | 11 |

111 | At the starts of a motion along a line the initial velocity is ( u ) and acceleration is at. The final velocity v is A . v=u+at B. v=u+at ( ^{2} ) C ( cdot v=u+frac{1}{2} a t^{2} ) D. ( v=a t^{2} ) | 11 |

112 | A 2-m wide truck is moving with a uniform speed = 8 ms’ along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed y when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is b. 4.6 ms d. 1.414 ms- a. 2.62 m s-1 c. 3.57 ms-1 | 11 |

113 | 9. The position-time (x-t) graphs for two children A and B returning from their school O to their homes P and Q respectively along straight line path (taken as x-axis) are shown in figure. Choose the correct statement (s): (a) A lives closer to the school than B (b) A starts from the school earlier than B (c) A and B have equal average velocities from 0 to to. (d) B overtakes A on the way | 11 |

114 | Calculate the distance travelled by a man walking at a speed of ( 5 mathrm{km} / mathrm{hr} ) in 36 minutes. ( A cdot 3 mathrm{km} ) B. ( 4 mathrm{km} ) ( c cdot 5 k m ) ( D cdot 6 mathrm{km} ) | 11 |

115 | Assertion Two balls of different masses are thrown vertically upward with same speed. They will pass through their point of projection in the downward direction with the same speed. Reason The maximum height and downward velocity attained at the point of projection are independent of the mass of the ball. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

116 | A body falls from the top of a building and reaches the ground ( 2.5 s ) later. How high is the building? (Take ( g=10 m s^{-2} ) A. 30.6 ( m ) B. 31.25 ( m ) c. 30 ( m ) D. 25 m | 11 |

117 | A body moving with uniform acceleration ( 8 m s^{-2} ) starts from rest. The distance covered by it in fifth second will be ( mathbf{A} cdot 8 m ) в. 64 т c. ( 4 m ) D. 36 ( m ) | 11 |

118 | Gradient of line of velocity time graph is tells us the A. velocity B. acceleration c. distance D. time | 11 |

119 | The displacement of particle from ( t=0 ) to ( t=2 ) seconds is ( mathbf{A} cdot 1 m ) B. ( 2 m ) ( c .3 m ) D. ( 4 m ) | 11 |

120 | A boy projects a ball up with an initial velocity of ( 80 mathrm{ft} / mathrm{s} ). The ball will be at a height of ( 96 mathrm{ft} ) from the ground after A. 2 s B. 3 ( c cdot 5 s ) D. both (a) and (b) | 11 |

121 | A body takes ‘t’ seconds to reach the maximum height ‘H’ ( m ), when projected vertically upward from the ground. Find the position of the body after ( frac{t}{2} ) seconds from the ground in terms of H. ( A cdot H / 3 ) B. 3/4 H c. ( 1 / 2 mathrm{H} ) D. | 11 |

122 | A particle has an initial velocity of ( 3 hat{i}+ ) ( 4 hat{i} ) and an acceleration of ( 0.4 hat{i} $+0.3 hat{i} ) Find speed after ( 10 s . ) [Hint: ( vec{nu}=vec{u}+vec{a} t ) when ( vec{a} ) is constant ( A cdot 8 sqrt{2} ) B. ( 7 sqrt{2} ) c. ( 17 sqrt{2} ) 2 D. ( 18 sqrt{2} ) | 11 |

123 | Two bullets are fired horizontally with different velocities from the same height. Which will reach the ground first? | 11 |

124 | At an airport, a bored child starts to walk backwards on a moving platform. The child accelerates relative to the platform with ( a=-0.5 m / s^{2} ) relative to the platform. The platform moves with a constant speed ( v=+1.0 m / s ) relative to the stationary floor In 4.0 seconds, how much will the child have been displaced relative to the floor? ( A cdot 8 m ) в. ( 4 m ) ( c .3 m ) D. ( 0 m ) E. ( -4 m ) | 11 |

125 | A pebble is thrown vertically upwards from a bridge with an initial velocity of ( 4.9 m s^{-1} . ) It strikes the water after ( 2 s ) Height of the bridge is: A . ( 19.6 mathrm{m} ) в. ( 14.7 mathrm{m} ) c. ( 9.8 mathrm{m} ) D. ( 4.9 mathrm{m} ) | 11 |

126 | Particle A moves along X-axis with a uniform velocity of magnitude ( 10 mathrm{m} / mathrm{s} ) Particle B moves with uniform velocity ( 20 mathrm{m} / mathrm{s} ) along a direction making an angle of ( 60^{circ} ) with the positive direction of X-axis as shown in the figure. The relative velocity of B with respect to that of ( A ) is. ( A cdot 10 mathrm{m} / mathrm{s} ) along ( mathrm{x} ) -axis B. ( 10 sqrt{3} mathrm{m} / mathrm{s} ) along Y-axis (perpendicular to ( mathrm{X} ) -axis) long the bisection of the velocities of A and B D /s along negative X-axi | 11 |

127 | 8. An object is thrown up vertically. The velocity-time graph for the motion of the particle is b. A a. ou | 11 |

128 | A particle is dropped from the top of a tower. During its motion it covers ( frac{mathbf{9}}{mathbf{2 5}} ) part of height of tower the last 1 seconds. Then find the height of tower | 11 |

129 | Find odd one out: Falling stone, a child sliding down a slope, firing of a bullet from a gun, a girl swinging in a swing A . a girl swinging in a swing B. falling stone c. a child sliding down a slope D. firing of a bullet from a gun | 11 |

130 | The distance versus time graph of a particle moving is shown below. What does the graph indicate? A. The particle starts with certain velocity with retardation and finally comes to restt B. The velocity of the particle is constant. C. The acceleration of the particle is uniform throughout D. The particle starts with a certain velocity and finally becomes uniform after certain time | 11 |

131 | A man can swim in still water at a speed of ( 3 mathrm{km} / mathrm{h} ). he want to cross a river that flows at ( 2 mathrm{km} / mathrm{h} ) and reach the point directly opposite to his starting point. (a) In which direction should he try to swim (that is, find the angle his bodys makes with the river flows?? (b) How much time will he take to cross the river if the is ( 500 mathrm{m} ) wide? | 11 |

132 | Assertion – The sound emitted by the source travels in all directions. Reason – The relative velocity of sound with respect to the observer is the sum | 11 |

133 | A balloon is rising with constant acceleration ( 2 m / s e c^{2} . ) Two stones are released from the balloon at the interval of 2 sec. Find out the distance between the two stones 1 se ( c ). after the release of second stone. ( mathbf{A} cdot 48 m ) в. ( 84 m ) ( c .40 m ) D. ( 60 m ) | 11 |

134 | A thief is running away on a straight road with a speed of ( 9 m s^{-1} . ) A police man chases him on a jeep moving at a speed of ( 10 mathrm{ms}^{-1} ) If the instantaneous separation of the jeep from the motorcycle is ( 100 mathrm{m}, ) how long will it take. for the police man to catch the thief? A . 1 s B. ( 19 s ) ( c cdot 90 s ) D. 100 s | 11 |

135 | Distances covered by a freely falling body (starting from rest) during ( 1^{s t}, 2^{n d}, 3^{r d} ldots . n^{t h} ) second of its motion are proportional to : A. even numbers B. odd numbers c. all integral numbers D. square of integral numbers | 11 |

136 | mum height reached by the bullet relative to 14. Find the maximum height reached the ground: (a) 85 m (b) 82 m (c) 82.75 m (d) 85.25 m | 11 |

137 | Change of the position of an object with respect to the observer is called. A. speed B. distance c. displacement D. motion | 11 |

138 | The displacement – time graph of a particle moving along a straight line is given below. Find the time at which its velocity is equal to zero. ( A ) В. ( c ) D. None of these | 11 |

139 | A train moves in straight line with a uniform acceleration. If ( x ) and ( y ) be the velocities with which the front and rear end of the train respectively cross a fixed pole then the velocity with which the middle of the train crosses the pole is: ( ^{text {A } cdot} frac{x^{2}+y^{2}}{2} ) в. ( frac{2 x y}{x+y} ) c. ( sqrt{frac{1}{2}left(x^{2}+y^{2}right)} ) D. ( sqrt{frac{1}{2}left(y^{2}-x^{2}right)} ) | 11 |

140 | In which of the following cases can the average velocity of a particle in a timeinterval can be found by using geometry only given the velocity-time graphs? A. Velocity-time graph is a set of straight line with different slopes B. Velocity-time graph is a straight line with constant slope and no discontinuities c. velocity-time graph is a set of straight lines with same slopes but with discontinuities D. Average velocity can always be found by using geometry only | 11 |

141 | The speed-time graph for a body is shown in the given figure. The displacement between ( t=1 ) second and ( t=7 ) second is nearest to: ( mathbf{A} cdot 1.5 m ) В. 2 т ( c .3 n ) D. ( 4 m ) | 11 |

142 | A particle moves in the ( x-y ) plane. Its motion is given by equations ( x=sin 2 t ) and ( y=(1-cos 2 t) . ) The distance travelled by the particle during time ( boldsymbol{t}=boldsymbol{2} boldsymbol{s} ) is ( mathbf{A} cdot 1 m ) в. ( 6 m ) c. ( 4 m ) D. ( 8 m ) | 11 |

143 | Find the acceleration of the vehicle. A. ( 0.1 mathrm{Ams}^{-2} ) B. ( 0.3 mathrm{ms}^{-2} ) D. ( 1 mathrm{ms}^{-2} ) | 11 |

144 | The second’s hand of a watch has length 6cm. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be: A ( .2 pi & 0 mathrm{mm} / mathrm{s} ) B. ( 2 sqrt{2} pi & 44 mathrm{mm} / mathrm{s} ) ( mathbf{c} cdot 2 sqrt{2} pi & 2 pi mathrm{mm} / ) D. ( 2 pi & 2 sqrt{2} pi mathrm{mm} / mathrm{s} ) | 11 |

145 | A car moving at ( 2.5 m s^{-1} ) doubles its velocity with an acceleration of ( 0.5 m s^{-2} ) in some time. If the same car travels at ( 1.5 m s^{-1}, ) what will be its final velocity if same acceleration acts on it for same time? ( mathbf{A} cdot 2 m s^{-1} ) B. ( 3 m s^{-1} ) ( mathbf{c} cdot 4 m s^{-1} ) ( mathrm{D} cdot 5 mathrm{ms}^{-1} ) | 11 |

146 | A farmer moves along the boundary of a square field of slide ( 10 mathrm{m} ) in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds from his initial position? | 11 |

147 | 12. A particle moves along a straight line and its velocity depends on time as v = 4t – t. Then for first 5 s: a. Average velocity is 25/3 ms-1 b. Average speed is 10 ms -1 c. Average velocity is 5/3 ms! d. Acceleration is 4 ms at t=0 | 11 |

148 | A car is moving on a straight road. The velocity of the car varies with time as shown in figure. Initially ( (a t t=0), ) the car was at ( x=0, ) where, ( x ) is the position of the car at any time ( t ) Average speed from ( t=0 ) to ( t=70 s ) wil be: A ( cdot frac{16}{7} m / ) в. ( frac{24}{7} m / ) c. ( frac{20}{7} m / ) ( D ) | 11 |

149 | A stone is thrown upwards with a velocity ( v ) from the top of a tower. It reaches the ground with a velocity ( 3 v ) What is the height of the tower? A ( cdot frac{2 v^{2}}{g} ) B. ( frac{3 v^{2}}{g} ) c. ( frac{4 v^{2}}{g} ) D. ( frac{6 v^{2}}{g} ) | 11 |

150 | A body which is uniformly accelerated, changes its velocity from ( 36 k m / h r ) in one direction to ( 18 k m / h r ) in the opposite in 6 seconds. The total distance traveled by the body during this time interval is | 11 |

151 | If the displacement of a particle varies with time as ( sqrt{x}=t+7 ), then (1) velocity of the particle is inversely porportional to (2) velocity of the particle is directly porportional to (3) velocity of the particle is porportional to ( sqrt{boldsymbol{t}} ) (4) the particle moves with a constant acceleration | 11 |

152 | A rigid triangular frame ABC of mass ( mathrm{m} ) is hanging from a rigid horizontal rod PQ. The frame is constrained to move along horizontal without friction. A bead of mass ( m ) is released from ( B ) that moves along BC. Magnitude of displacement o frame when bead reaches C is A ( cdot frac{l}{2} ) B. ( frac{l}{4} ) c. ( frac{3 l}{sqrt{2}} ) D. ( frac{sqrt{3} l}{4} ) | 11 |

153 | A stone falls from a balloon that is descending at a uniform rate of ( 12 m s^{-1} ) The displacement of the stone from the point of release after 10 sec is : A. ( 490 mathrm{m} ) B. ( 510 mathrm{m} ) c. ( 610 mathrm{m} ) D. 725m | 11 |

154 | A particle of unit mass undesgro one dimension motion. Such that its verocity varies accordingly to ( v(x)= ) ( beta vec{x}^{2} pi, ) where ( beta ) and ( n ) are constant and ( x ) is the position of the particle. The accelerationx is the position of the particle. The accelerationof the particle a function of ( x, ) is given by A. ( -2 n beta^{2} x^{-} 2 n-1 ) B . ( -2 n beta^{2} x^{-4 n-1} ) C ( .-2 beta^{2} x^{-2 n+1} ) D. ( -2 n beta^{2} e^{-} 4 n+1 ) | 11 |

155 | 13. The time at which speed of the particle is minimum. (a) 12:00 noon (b) 1:00 pm (c) 11:00 am (d) 2:00 pm | 11 |

156 | An athlete completes half a round of a circular track of radius, ( boldsymbol{R} ). Then, the displacement and distance covered by the athlete are ( mathbf{A} cdot 2 R ) and ( pi R ) B. ( pi R ) and ( 2 R ) c. ( R ) and ( 2 pi R ) D. ( 2 pi R ) and ( R ) | 11 |

157 | Two cars are moving in the same direction with the same speed ( 30 k m / h r . ) They are separated by a distance of ( 5 k m ) the speed of a car moving in the opposite direction if it meets these two cars at interval of 4 minutes, will be: A. ( 40 k m / h r ) в. ( 45 k m / h r ) c. ( 30 k m / h r ) D. ( 15 k m / h r ) | 11 |

158 | The co-ordinates of a moving particle at a time ( t, ) are given by ( boldsymbol{x}= ) ( 5 sin 10 t, y=5 cos 10 t . ) The speed of the particle is ( mathbf{A} cdot 25 ) B. 50 c. 10 D. ( 50 sqrt{2} ) | 11 |

159 | The displacement of the point of a whee initially in contact with the ground when the wheel rolls forward half a revolution where radius of the wheel is 1 ( m ), is (Assume the forward direction as ( x ) -axis | 11 |

160 | What is the minimum height above the ground at which the rocketeer should catch the student? A . ( 92.1 mathrm{m} ) в. 460.9 т c. ( 78.8 m ) D. 82.3 m | 11 |

161 | Two inclined planes intersect in a horizontal plane. their inclinations to the horizontal being ( alpha ) and ( beta . ) If a particle is projected with velocity u at right angle to the former from a point on it, find the time after which the velocity vector will become perpendicular to the other inclined plane. ( t_{t}=frac{u sin (alpha+beta)}{g sin beta} ) B. ( t=frac{u cos (alpha+beta)}{g cos beta} ) c. ( _{t}=frac{u cos (alpha+beta)}{g sin beta} ) D. ( t=frac{u sin (alpha+beta)}{g cos beta} ) | 11 |

162 | The displacement ( in ( mathrm{m} ) ) of a particle of mass 100 g from its equilibrium position is given by the equation: [ boldsymbol{y}=mathbf{0 . 0 5} sin 3 boldsymbol{pi}(mathbf{5} boldsymbol{t}+mathbf{0 . 4}) ] A. the time period of motion is ( 1 / 30 ) sec B. the time period of motion is ( 1 / 705 ) sec c. the maximum acceleration of the particle is [ 11.25 pi^{2} m / s^{2} ] D. the force acting on the particle is zero when the displacement is 0.05 ( mathrm{m} ). | 11 |

163 | 6. A ball is thrown vertically upwards. Which of the following plots represents the speed-time graph of the ball during its height if the air resistance is not ignored? Speed Speed Time → Time → Speed Speed Time → Time bu tebe the | 11 |

164 | An object is moving on a circular path of radius ( r ) with constant speed ( v ). The average acceleration of the object, after it has traveled a half rounds, is, A ( cdot frac{2 v^{2}}{pi r} ) В. ( frac{4 v^{2}}{3 pi r} ) c. ( frac{4 v^{2}}{7 pi r} ) D. ( frac{2 v^{2}}{7 pi r} ) | 11 |

165 | Two identical particles ( B ) and ( C ) each of mass ( 50 g ) are connected by a light rod of length ( 30 C M . ) Another particle ( A ) of same mass moving with a speed ( u= ) ( 60 C M / s ) strikes ( B, ) in a direction perpendicular to ( A B, ) and sticks to it. The whole process takes place on a smooth horizontal plane. Find the angular velocity ( omega ) of the system about its centre of mass, immediately after the impact. | 11 |

166 | A particle ( A ) moves in one direction along a given trajectory with a tangential acceleration ( omega_{tau}=a tau, ) where ( vec{a} ) is a constant vector coinciding in direction with the ( x ) axis as shown in figure above, and ( vec{tau} ) is a unit vector coinciding in direction with the velocity vector at a given point. Find how the velocity of the particle depends on ( x ) provided that its velocity is negligible at the point ( boldsymbol{x}=mathbf{0} ) | 11 |

167 | A passenger in a train moving at an acceleration ‘a’, drops a stone from the window. A person, standing on the ground, by the sides of the rails, observes the ball following: A. Vertically with acceleration ( sqrt{g^{2}+a^{2}} ) B. Horizontally with an acceleration ( sqrt{g^{2}+a^{2}} ) C. Along a parabola with acceleration ( sqrt{g^{2}+a^{2}} ) D. Along a parabola with acceleration ‘g” | 11 |

168 | i) Match the following graphs with their corresponding motions. ii) What is the value of acceleration in graph B? | 11 |

169 | The ( O A ) and ( A B ) part of the graph correspond to A. uniform retardation, variable acceleration B. uniform acceleration, uniform velocity c. constant velocity, uniform acceleration D. uniform acceleration, varying velocity | 11 |

170 | The displacement-time graph of a moving particle is shown.The instantaneous velocity of the particle is negative at the point :- ( A ) B. ( c cdot c ) ( D ) | 11 |

171 | A car travels on a straight road from point ( A ) to point ( B ) in four hours, and then from point ( B ) back to point ( A ) in six hours. The distance between the two points is ( 240 k m ) Find out the car’s average velocity? | 11 |

172 | When the distance an object travels is directly proportional to the time, it is said to travel with A. Constant speed B. Zero velocity c. Constant acceleration D. Uniform velocity | 11 |

173 | A car covers half the distance at a speed of ( 50 mathrm{km} / mathrm{hr} ) and the other half at ( 40 mathrm{km} / mathrm{hr} . ) Find the average speed of the car. | 11 |

174 | A stone thrown down with a speed ( u ) takes a time ( t_{1} ) to reach the ground, while another stone, thrown upwards from the same point with the same speed, takes time ( t_{2} ). The maximum height of the second stone reaches from the ground is : A ( cdot 1 / 2160 ; g t_{1} t_{2} ) B . ( g ) 8 ( left(t_{1}+t_{2}right)^{2} ) c. ( g ) 8 ( left(t_{1}-t_{2}right)^{2} ) D. ( 1 / 2 g t_{2}^{2} ) | 11 |

175 | The velocity-time graph given shows the motion of a cyclist. Its velocity is given by A ( cdot 20 m s^{-1} ) B. ( 22.5 m s^{-1} ) ( mathrm{c} cdot 19 mathrm{ms}^{-1} ) D. ( 21 m s^{-1} ) | 11 |

176 | 14. The distance of separation between the body and the balloon after 5 s is a. 122.5 m b. 100.5 m c. 132.5 m d. 112.5 m | 11 |

177 | Two cars are travelling towards each other on a straight road at velocities ( 15 m / s ) and ( 16 m / s ) respectively. When they are ( 150 mathrm{m} ) apart, both the drivers apply the brakes and the cars decelerate at ( 3 m / s^{2} ) and ( 4 m / s^{2} ) until they stop. Separation between the cars when they come to rest is : ( mathbf{A} cdot 86.5 m ) в. ( 89.5 m ) c. ( 85.5 m ) D. ( 80.5 m ) | 11 |

178 | A car moves on a circular road describing equal angles about the centre in equal intervals of time. Which of following statements about the velocity of car are not true? This question has multiple correct options A. Velocity is constant B. Magnitude of velocity is constant but the direction changes c. Both magnitude and direction of velocity change D. Velocity is directed towards the center of circle | 11 |

179 | A person wants to drive on the vertical surface of a large cylindrical wooden ‘well’ commonly known as’death well’ in a circus. The radius of the well is 2 meter, and the coefficient of friction between the tyres of the motorcycle and the wall of the well is ( 0.2, ) the minimum speed the motorcyclist must have in order to prevent slipping should be A. ( 10 mathrm{m} / mathrm{s} ) в. ( 15 mathrm{m} / mathrm{s} ) ( c .1 .98 m / s ) D. ( 25 mathrm{m} / mathrm{s} ) | 11 |

180 | A particle of mass ( 0.3 mathrm{kg} ) is subjected to a force ( boldsymbol{F}=-boldsymbol{k} boldsymbol{x} ) with ( boldsymbol{k}=mathbf{1 5} boldsymbol{N} / boldsymbol{m} ) What will be its initial acceleration if it is released from a point ( 20 mathrm{cm} ) away from the origin? | 11 |

181 | Two balls were thrown vertically upwards with different velocities, what is the shape of the graph between distance between the balls and time before either of the two collide with ground? A. Straight line passing through origin B. Parabola c. circle D. None of the above | 11 |

182 | The area enclosed by the velocity-time sketch below the time axis represents A . positive displacement B. negative displacement c. zero displacement D. total displacement | 11 |

183 | positions ‘A’ and ‘B’ starting at the same time and reach the point ‘C’ (along straight line) simultaneously when wind was not blowing. On a windy day they head towards ‘C’ but both reach the point ‘D’ simultaneously in the same time which they took to reach ‘C’. Then the wind is blowing in A. North-West direction B. North-East direction C. Direction making an angle ( 0<theta<90^{circ} ) (but not ( 45^{circ} ) with North towards West D. North direction | 11 |

184 | Assertion If the magnitude of displacement is zero, then it is not a vector quantity. Reason A vector have both magnitude and direction. | 11 |

185 | The area under the velocity-time graph between any two instant ( t=t_{1} ) and ( t= ) ( t_{2} ) gives the displacement covered in time ( delta t=t_{2}-t_{1} . ) This is true: A. only if the particle moves with a uniform velocity B. only if the particle moves with a uniform acceleration c. only if the particle moves with an acceleration increasing at a uniform rate D. in all cases irrespective of whether the motion is one of uniform velocity, or of uniform acceleration or of variable acceleration | 11 |

186 | Illustration 4.41 A swimmer capable of swimming with velocity v relative to water jumps in a flowing river having velocity u. The man swims a distance d down stream and returns back to the original position. Find out the time taken in complete motion. | 11 |

187 | Assertion Average velocity of the body may be equal to its instantaneous velocity at all points of time. Reason If a body is having uniform motion in one dimension, then velocity is constant and average velocity can be equal to instantaneous velocity A. Both Assertion and Reason are true and Reason is the correct explanation for Assertion. B. Both Assertion and Reason are true but Reason is not the correct explanation for Assertion. C. Assertion is true, but Reason is false. D. Assertion is false, but the Reason is true. | 11 |

188 | Two boys are standing at the ends ( A ) and B of a ground where ( A B=a ). The boy at ( B ) starts running in a direction perpendicular to AB with velocity ( v_{1} . ) The boy at A starts running simultaneously with velocity ( mathbf{v} ) and catches the other in a time ( t, ) where ( t ) is? A ( cdot frac{a}{sqrt{v^{2}+v_{1}^{2}}} ) B. ( frac{a}{v+v_{1}} ) C. ( frac{a}{v-v_{1}} ) D. ( sqrt{frac{a^{2}}{v^{2}-v_{1}^{2}}} ) | 11 |

189 | 9. Two cars are moving in the same direction with the same speed 30 km/hr. They are separated by a distance of 5 km, the speed of a car moving in the opposite direction if it meets these two cars at an interval of 4 minutes, will be (a) 40 km/hr (b) 45 km/hr (c) 30 km/hr (d) 15 km/hr | 11 |

190 | A point traversed half the distance with a velocity ( v_{0} . ) The remaining part of the distance was covered with velocity ( boldsymbol{v}_{1} ) for half the time, and with velocity ( v_{2} ) for the other half of the time. If the mean velocity of the point averaged over the whole time of motion is ( langleboldsymbol{v}rangle= ) ( frac{boldsymbol{x} boldsymbol{v}_{0}left(boldsymbol{v}_{1}+boldsymbol{v}_{2}right)}{mathbf{2} boldsymbol{v}_{0}+boldsymbol{v}_{1}+boldsymbol{v}_{2}} . ) Find ( boldsymbol{x} ) | 11 |

191 | What is the relation between distance and displacement. A. Distance is always less than displacement B. Distance is always greater than displacement C. Distance is always equal to displacement D. None of the above | 11 |

192 | A body at rest with initial displacement can be shown in the displacement ( (s) ) versus time (t) graph given above. A. True B. False | 11 |

193 | A person moves towards East for ( 3 m ) then towards North for ( 4 m ) and then moves vertically up by ( 5 m . ) What is his distance now from the starting point? | 11 |

194 | The given diagram shows a series of images of moving ball captured by a camera. The ball was moving at a constant speed and the image were taken constant rate of 10 per second.What is the speed of ball? A. ( 30 m s^{-1} ) B. ( 20 m s^{-1} ) c. ( 45 m s^{-1} ) D. ( 15 mathrm{ms}^{-1} ) | 11 |

195 | A person drops the ball from the top of a building. Taking air resistance into account, which of the following best describes the speed of the ball during its downward motion? A. It will increase until it reaches the speed of light B. It will increase at a steady rate c. It will remain constant D. It will decrease E. Its rate of acceleration will decrease until the ball moves at a constant speed | 11 |

196 | What is displacement? | 11 |

197 | A object starts from rest at ( t=0 ) and accelerates at a rate given by ( a=6 t ) What is its displacement at any time ( t ? ) A ( cdot t^{2} ) в. ( t^{3} ) ( c cdot 3 t^{2} ) D. ( 3 t^{3} ) | 11 |

198 | A particle has initial velocity ( (3 hat{i}+ ) ( 4 widehat{j}) m / s ) and has acceleration ( (0.4 hat{i}+ ) ( 0.3 hat{j}) m / s^{2} . ) Calculate its speed after ( mathbf{1 0 s} ) | 11 |

199 | 18. Plot the acceleration-time graph of the velocity-time graph given in Fig. 4.174. a (ms) 10+— (s) Fig. 4.174 a. 4a (ms-2) 27 S b . A a (m s-2) 0 L 20 10 20 15 c. A a(ms) d. a (m s-2) . 20 t(s) 0 15 20t(s) | 11 |

200 | 5. A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected). y! (b) | 11 |

201 | The numerical ratio of displacement to distance for a moving object is A. always less than 1 B. always equal to 1 c. always more than 1 D. equal or less than 1 | 11 |

202 | Two objects of masses ( m_{1} ) and ( m_{2} ) having the same size are dropped simultaneously from heights ( h_{1} ) and ( h_{2} ) respectively. Find out the ratio of time they would take in reaching the ground. A ( cdot sqrt{frac{h_{1}}{h_{2}}} ) B. ( sqrt{frac{h_{2}}{h_{1}}} ) c. ( frac{h_{1}}{h_{2}} ) D. ( frac{h_{2}}{h_{1}} ) | 11 |

203 | A bus accelerates uniformly from rest and acquires a speed of ( 75 k m / h r ) in ( 20 s . ) The acceleration of the bus (rounded off to the nearest integer) is: A ( cdot 10 m / s^{2} ) B . ( 5 mathrm{m} / mathrm{s}^{2} ) c. ( 2 m / s^{2} ) D. ( 1 mathrm{m} / mathrm{s}^{2} ) | 11 |

204 | A vehicle moving with a constant acceleration from ( A ) to ( B ) in a straight line ( A B, ) has velocities ( u ) and ( v ) at ( A ) and B respectively. C is the mid point of AB. If time taken to travel from A to C is twice the time to travel from ( C ) to ( B ) then the velocity of the vehicle ( v ) at ( B ) is: A . ( 5 u ) B. ( 6 u ) c. ( 7 u ) D. ( 8 u ) | 11 |

205 | A particle moves along the curve ( y= ) ( a x^{2}, ) with constant speed ( v . ) The acceleration at the origin of coordinates being (where ( a text { is a constant }) ) A ( cdot frac{v^{2}}{2 a} ) B. ( 2 a v^{2} ) c. ( frac{v^{2}}{a} ) D. ( a v^{2} ) | 11 |

206 | What is a motion? | 11 |

207 | What can you say about the nature of motion of a body if its displacementtime graph is a straight line parallel to time axis ? A. body is stationary (or no motion) B. body has non zero acceleration c. body has non zero velocity D. None of the above | 11 |

208 | The acceleration of a particle which moves along the positive x-axis varies with its position as shown. If the velocity of the particle is ( 0.8 m / s ) at ( x=0, ) the velocity of the particle at ( x= ) 1.4 is ( (text { in } m / s) ) A . 1.6 B. 1.2 c. ( 1 . ) D. None of these | 11 |

209 | If the particle moves from ( A ) to ( B ) as shown in figure, then the ratio of displacement to distance covered by particle is (if ( mathrm{R} ) is the radius of track) ( A cdot frac{2 sqrt{2}}{3 pi} ) в. ( frac{3 pi}{2 sqrt{2}} ) c. ( frac{pi}{sqrt{2}} ) D. ( frac{pi}{2 sqrt{2}} ) | 11 |

210 | Rahul takes 6 hours more than than Pathak to cover a distance of ( 540 k m ). If instead, Rahul doubles his speed, he would reach the destination one and a half hours before Pathak. Find Pathak’s speed. A. ( 36 mathrm{kmph} ) B. ( 60 mathrm{kmph} ) c. ( 45 mathrm{kmph} ) D. ( 40 mathrm{kmph} ) | 11 |

211 | Two stones are thrown up simultaneously from the edge of a cliff ( 200 mathrm{m} ) high with initial speeds of ( 15 mathrm{m} ) ( s^{-1} ) and ( 30 mathrm{m} s^{-1} ) respectively. The time variation of the relative position of the second stone with respect to the first as shown in the figure. The equation of the liner part is ( mathbf{A} cdot x_{2}-x_{1}=50 mathrm{t} ) B ( cdot x_{2}-x_{1}=10 t ) ( mathbf{c} cdot x_{2}-x_{1}=15 t ) D. ( x_{2}-x_{1}=20 t ) | 11 |

212 | A body of mass ( 2 k g ) is thrown upward with initial velocity ( 20 m / s . ) After ( 2 s ) find its kinetic energy will be: ( (boldsymbol{g}= ) ( left.10 m / s^{2}right) ) A. ( 400 J ) B. 200 J c. ( 100 J ) D. zero | 11 |

213 | State whether true or false. Motion of the needle of a sewing machine is rotatory motion. A. True B. False | 11 |

214 | A force of ( 100 N ) acting on a body for 5 second gives it a velocity of ( 20 m s^{-1} ) Calculate the mass of the body. A. ( 50 mathrm{kg} ) B. 25 kg c. ( 75 mathrm{kg} ) D. ( 100 mathrm{kg} ) | 11 |

215 | The velocity time graph of a particle moving along a straight line has the form of a parabola ( t^{2}-6 t+8 mathrm{m} / mathrm{s} ). Find the velocity (in ( mathrm{m} / mathrm{s} ) ) when acceleration of particle is zero: A . -1 B. -2 c. -3 D. – | 11 |

216 | A particle covers ( 10 m ) in first ( 5 s ) and 10 ( m ) in next ( 3 s ). Assuming constant acceleration. Find initial speed, acceleration and distance covered in next ( 2 s ) | 11 |

217 | A vehicle moving at a speed of ( 15 mathrm{m} / mathrm{s} ) is stopped by applying brakes which produce a uniform acceleration of -0.5 ( m / s^{2} . ) The distance covered by the vehicle before it stops is: A . ( 100 mathrm{m} ) B. 200 ( mathrm{m} ) c. 250 ( mathrm{m} ) D. 225 m | 11 |

218 | A particle moves along a parabolic path ( boldsymbol{y}=mathbf{9} boldsymbol{x}^{2} ) in such a way that the ( boldsymbol{x} ) component of velocity remains constant and has a value ( 0.333 m / s . ) The magnitude of acceleration of the particle is: A . 1 B. 2 ( c cdot 3 ) D. | 11 |

219 | If a car at rest accelerates uniformly to a speed of ( 144 mathrm{km} / mathrm{h} ) in 20 second, it covres a distance of :- A . ( 20 m ) B. ( 400 m ) c. ( 1440 m ) D. 2980 ( m ) | 11 |

220 | 4(m s-) — 4. A particle is moving along a straight line whose velocity-displacement graph is shown in Fig. A.2. What is the acceleration when displacement is 3 m? 600 3 m Fig. A.2 b. 3V3 ms-2 a. 473 ms-2 c. 13 ms-2 d. 4/13 ms 2 | 11 |

221 | A car accelerates steadily so that it goes from a velocity of ( 20 mathrm{m} / mathrm{s} ) to a velocity of ( 40 mathrm{m} / mathrm{s} ) in 4 seconds. What is its acceleration? A. ( 0.2 mathrm{m} / mathrm{s}^{2} ) В. ( 4 m / s^{2} ) c. ( 5 mathrm{m} / mathrm{s}^{2} ) D. ( 10 mathrm{m} / mathrm{s}^{2} ) E . ( 80 mathrm{m} / mathrm{s}^{2} ) | 11 |

222 | With what minimum acceleration can a fireman slide down a rope whose breaking strength is ( 3 / 4 ) th of his weight ? A ( cdot 1 / 4 mathrm{g} ) B. ( 1 / 2 g ) c. ( 3 / 4 g ) D. zero | 11 |

223 | A train is moving at a constant speed ( mathrm{V} ) when its driver observes another train in front of him on the same track and moving in the same direction with constant speed v. If the distance between the trains is ( x, ) then what should be the minimum retardation of the train so as to avoid collision? A ( cdot frac{(V+v)^{2}}{x} ) B. ( frac{(V-v)^{2}}{x} ) C ( frac{(V+v)^{2}}{2 x} ) D. ( frac{(V-v)^{2}}{2 x} ) | 11 |

224 | (111 Hele) WII I LUV Mwiw o – wy! 7. In quick succession, a large number of balls are thrown up vertically in such a way that the next ball is thrown up when the previous ball is at the maximum height. If the maximum height is 5 m, then find the number of the thrown up per second (g = 10 ms?). O A1: un ho | 11 |

225 | State whether given statement is True or False. The motion of the moon around the earth is a curvilinear motion A. True B. False | 11 |

226 | 49. Drops of water fall at regular intervals from roof of building of height H = 16 m, the first drop striking the ground at the same moment as the fifth drop detaches itself from the roof. The distances between separate drops in air as the first drop reaches the ground are a. 1 m, 5 m, 7 m, 3 m b. 1 m, 3 m, 5 m, 7 m c. 1 m, 3 m, 7 m, 5 m d. None of the above | 11 |

227 | A body moving with a constant acceleration travels the distances ( 3 m ) and 8 m respectively in ( 1 ~ s ) and ( 2 s ) Calculate the acceleration of the body. ( mathbf{A} cdot 2 m s^{-2} ) B. ( 3 m s^{-2} ) c. ( 4 m s^{-2} ) D. ( 5 m s^{-2} ) | 11 |

228 | Two electrons lying ( 10 c m ) apart are released. What will be their speed when they are ( 20 c m ) apart? | 11 |

229 | The figure shown depicts the distance travelled by a body as a function of time. The average speed and maximum | 11 |

230 | A particle is thrown upwards with velocity ( 2 mathrm{m} / mathrm{s}, ) the velocity of particle after 2 s is : A. ( 17.6 m / s ) B. ( -17.6 mathrm{m} / mathrm{s} ) c. ( 19.6 m / s ) D. ( -19.6 m / s ) | 11 |

231 | State whether true or false. A coin moving over a carrom board exhibits rectilinear motion. A. True B. False | 11 |

232 | Q Type your question with time according to the equation ( boldsymbol{x}=mathbf{4}-mathbf{2} boldsymbol{t}+boldsymbol{t}^{2} . ) The speed of the particle will vary with time as ( A ) B. ( c ) ( D ) | 11 |

233 | Figure represents the displacement- time graph of motion of two cars ( A ) and B. Find the distance by which the car B was initially ahead of Car A A. ( -40 k m ) B. ( 40 k m ) ( c .0 k m ) D. ( 100 k m ) | 11 |

234 | The displacement time graph for the particles ( A ) and ( B ) are straight lines inclined at angles 30 degree and 40 degree with the time axis. What is the ratio of the velocities of ( A ) and ( B ? ) | 11 |

235 | A particle started moving from ( boldsymbol{P} ) towards ( S ) with uniform acceleration along a straight line. The average velocity of the particle from ( P ) to intermediate point ( Q ) is ( 8 m / s ) and that ( Q ) to ( S ) is ( 12 m / s . ) If ( Q S=P Q, ) then the average velocity from ( boldsymbol{P} ) to ( boldsymbol{S} ) is: A. ( 9.6 mathrm{m} / mathrm{s} ) B. ( 12.87 mathrm{m} / mathrm{s} ) ( c .64 m / s ) D. ( 327 mathrm{m} / mathrm{s} ) | 11 |

236 | State the following statement is True or False: The total path length is always equal to the magnitude of the displacement vector of a particle. | 11 |

237 | ( mathbf{A} ) time ( boldsymbol{t}=mathbf{0} ) a particle starts moving along the ( x ) axis. If its kinetic energy increases uniformly with ( t, ) the net force acting on it must be A. Constant B. Proportional to ( t ) C . Inversely proportional to ( t^{2} ) D. Proportional to ( 1 / sqrt{t} ) | 11 |

238 | A freely falling body covers half of its journey from the top of a tower in ( 0.5 s ) What is the height of the tower? A ( .4 .9 m ) B. ( 2.45 m ) ( mathrm{c} .9 .8 mathrm{m} ) D. ( 9 m ) | 11 |

239 | An iron sphere of mass ( 10 mathrm{kg} ) is dropped from a height of ( 80 mathrm{cm} . ) If the downward acceleration of the sphere is ( 10 m s^{-2} ) calculate the momentum of the sphere when it just strikes the ground A. ( 100 mathrm{kg} mathrm{m} / mathrm{s} ) B. ( 40 mathrm{kg} mathrm{m} / mathrm{s} ) c. ( 60 mathrm{kg} mathrm{m} / mathrm{s} ) D. ( 75 mathrm{kg} mathrm{m} / mathrm{s} ) | 11 |

240 | A body starts from rest with an acceleration ( a_{1} . ) After two seconds another body ( B ) starts from rest with an acceleration ( a_{2} ). If they travel equal distances in fifth second after the starts of ( A, ) the ratio ( a_{1}: a_{2} ) will be equal to: A .9: 5 B. 5: 7 ( mathrm{c} .5: 9 ) D. 7: 9 | 11 |

241 | Velocity-time graph ( A B ) (Fig. 2.1 ) shows that the body has: A. a uniform acceleration B. a non-uniform retardation c. uniform speed D. initial velocity OA and is moving with uniform retardation | 11 |

242 | If the distance travel by a uniformly accelerated particle in ( p ) th ( , q t ) and ( r t h ) second are ( a, b ) and ( c ) respectively. Then A ( .(q-r) a+(r-p) b+(p-q) c=1 ) B. ( (q-r) a+(r-p) b+(p-q) c=-1 ) c. ( (q-r) a+(r-p) b+(p-q) c=0 ) D. ( (q+r) a+(r+p) b+(p+q) c=0 ) | 11 |

243 | Two trains are moving with velocities ( boldsymbol{v}_{1}=mathbf{1 0} boldsymbol{m} boldsymbol{s}^{-1} ) and ( boldsymbol{v}_{2}=mathbf{2 0} boldsymbol{m} boldsymbol{s}^{-1} ) on the same track in opposite directions. After the application of brakes if their retarding rates are ( a_{1}=2 m s^{-2} ) and ( a_{1}=1 m s^{-2} ) respectively, then the minimum distance of separation between the trains to avoid collision is ( mathbf{A} cdot 150 m ) В. ( 225 mathrm{m} ) c. ( 450 m ) D. ( 300 m ) | 11 |

244 | A particle covers ( 150 mathrm{m} ) in 8 thsecond starting from rest, its acceleration is: A ( cdot 15 m / s^{2} ) B. ( 20 m s^{2} ) c. ( 10 m / s^{2} ) D. ( 8 m / s^{2} ) | 11 |

245 | A block of mass ( 10 mathrm{kg} ) is moving horizontally with a speed of ( 1.5 m s^{-1} ) on a smooth plane. If a constant vertical force ( 10 N ) acts on it, the displacement of the block from the point of application of the force at the end of 4 seconds is A. ( 5 m ) B. ( 20 m ) c. ( 18 m ) D. ( 10 m ) | 11 |

246 | Which of the following statement is correct? A. Motion of soldiers on march past is a periodic motion B. Motion of a train along a curved track on hills is the example of curvilinear motion. C. Every periodic motion is also a oscillatory motion D. Hockey player running after a ball is a combined motion | 11 |

247 | Which of the following options is correct for the object having a straight line motion represented by the graph shown in figure? A. The object moves with constantly increasing velocity from 0 to ( A ) and then it moves with constant velocity B. Velocity of the object increases uniformly c. Average velocity is zero. D. The graph shown is impossible | 11 |

248 | A particle starts from rest with acceleration ( 2 m s^{2}, ) The distance moved by particle in 5 sec is: A . ( 22 mathrm{m} ) B. 28 m c. ( 25 mathrm{m} ) D. 13 ( m ) | 11 |

249 | A body projected vertically up travels a height ( h ) in the ( n^{t h} ) second. The distance travelled by it in the next two seconds is ( A cdot h+2 g ) в. ( 2 h+g ) c. ( 2 h+2 g ) D. ( 2 h+3 g ) | 11 |

250 | Suppose there are two balls of equal mass, shape and size and we apply the equal force on both,suppose ( 5 mathrm{N} ) but after when they stop them we see that one ball covers less distance and ball covers more, even all are same (mass,force,shape and size ) Why? | 11 |

251 | A bird files for 4 s with a velocity of ( mid t- ) ( 2 mid m / s ) in a straight line, where ( t ) is time in seconds. It covers a distance of: A. 2 m B. 4 m ( c cdot 6 m ) D. om | 11 |

252 | A ball of mass ( mathrm{m} ) is dropped from a high building and strikes the ground 4 seconds later. Calculate the height of the building. A ( .20 m ) в. ( 40 m ) c. ( 60 m ) D. 80m E . ( 100 m ) | 11 |

253 | A particle accelerates from rest at a constant rate for some time and attains a velocity of ( 8 m / ) sec. Afterwards it decelerates with the constant rate and comes to rest. If the total time taken is 4 sec, the distance travelled is A . ( 32 m ) B. ( 16 m ) ( c .4 m ) D. None of the above | 11 |

254 | A particle starts moving rectilinearly at time ( t=0 ) such that its velocity ( v ) changes with time ( t ) according to the equation ( boldsymbol{v}=boldsymbol{t}^{2}-boldsymbol{t}, ) where ( boldsymbol{t} ) is in seconds and ( v ) is in ( m s^{-1} ). The time interval for which the particle retards (i.e., magnitude of velocity decreases) is: A. ( t<1 / 2 ) B. ( 1 / 2<t1 ) D. ( t1 ) | 11 |

255 | Assertion Displacement-time equation of two particles moving in a straight line are, ( s_{1}=2 t-4 t^{2} ) and ( s_{2}=2 t+4 t^{2} ) Relative velocity between the two will go on increasing. Reason If velocity and acceleration are of same sign then speed will increase. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion is incorrect but Reason is correct | 11 |

256 | The two position-time graphs time in seconds pictured below on the same grid represents the position of a motorized car (red) and a cart coasting down a ramp (blue). At what time are their velocity closures to being the same? A. 1 second B. 2 second c. 3 second ( D ) E. 3 second | 11 |

257 | ( frac{5}{4} ) | 11 |

258 | Illustration 4.31 Suppose you are riding a bike with a speed of 10 m s’due east relative to a person A who is walking on the ground towards east. If your friend B walking on the ground due west measures your speed as 15 m s find the relative velocity between two reference frames A and B. | 11 |

259 | 10. Which is correct? a. 11 = 12 c. t,t2 d. Depends upon the mass 1 TL 1. | 11 |

260 | A velocity – time graph is shown above in figure (i) and (ii) find the acceleration and displacement | 11 |

261 | A man walks ( 20 mathrm{m} ) at an angle of ( 60^{circ} ) east of north. How far towards north has he traveled? A . ( 10 m ) в. 20m ( mathrm{c} cdot 10 sqrt{3} m ) D. ( 10 / sqrt{3} m ) | 11 |

262 | The displacement of particle moving along x-axis versus time is given in the figure below The average velocity, ( V_{a v} ) of the particle | 11 |

263 | When two bodies move uniformly towards each other,the distance between them diminishes by ( 16 m ) every 10s.If bodies move with velocities of the same magnitude and in the same direction as before the distance between then will decease ( 3 m ) every ( 5 s ) The velocity of each body is ( mathbf{A} cdot 1.5 m / s, 0.8 m / s ) B. ( 1.1 mathrm{m} / mathrm{s}, 0.5 mathrm{m} / mathrm{s} ) c. ( 2.4 m / s, 1.5 m / s ) D. ( 3.0 m / s, 1.5 m / s ) | 11 |

264 | A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the ( n^{t h} ) sec to the distance covered in ( n ) sec is: A ( cdot frac{2}{n}-frac{1}{n^{2}} ) B. ( frac{1}{n^{2}}-frac{1}{n} ) C ( cdot frac{2}{n^{2}}-frac{1}{n} ) D. ( frac{1}{n}-frac{1}{n^{2}} ) | 11 |

265 | Total area under velocity-time graph give us the : A. acceleration B. velocity c. time D. distance | 11 |

266 | C. 11 A point moves such that its displacement as a function of time is given by x° = Ⓡ + 1. Its acceleration as a function of time t will be | 11 |

267 | A particle starts from rest and moves with an acceleration of ( boldsymbol{a}=mathbf{2}+(boldsymbol{t}- ) 2) ( mid m / s^{2}, ) the velocity of the particle at ( t=4 sec ) is ( A cdot 2 m / s ) B. ( 4 mathrm{m} / mathrm{s} ) c. zero D. ( 12 mathrm{m} / mathrm{s} ) | 11 |

268 | A person travelled a distance of ( 3 mathrm{km} ) along a straight line in the North direction. Then he travelled ( 2 mathrm{km} ) in west direction and then ( 5 mathrm{km} ) in south direction.The magnitude of the displace-ment of this person would be A. ( 2 sqrt{2} mathrm{km} ) B. ( 3 sqrt{2} ) Кт c. ( 4 sqrt{2} ) кт D. 10 Km | 11 |

269 | If a particle moving along a line following the law ( t=a s^{2}+b s+c ) then the retardation of the particle is proportional to A. Square of displacement B. Square of velocity c. cube of displacement D. Cube of velocity | 11 |

270 | A body starts from the rest with uniform acceleration. If its displacement in the 3rd seconds and 7th second are ( x_{1} ) and ( boldsymbol{x}_{2}, ) then: A. ( 13 x_{1}=5 x_{2} ) В. ( 5 x_{1}=13 x_{2} ) c. ( 3 x_{1}=7 x_{2} ) D. ( 7 x_{1}=3 x_{2} ) | 11 |

271 | A uniform spherical shell of mass ( M ) and radius ( R ) rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of the shell, over a pulley of rotational inertia ( boldsymbol{I} ) and radius ( R ) and is attached to a small object of mass ( m ) that is otherwise free to fall under the influence of gravity There is no friction of pulley’s axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance ( h ) from rest? Use work-energy considerations | 11 |

272 | 4. The displacement versus time curve is given (Fig. 4.183). Sections OA and BC are parabolic. CD is parallel to the time axis. Fig. 4.183 Column II Column I Ioa i. a. Velocity increases with time linearly Veloci ü. AB iii. BC b. c. d. Velocity decreases with time Velocity is independent of time Velocity is zero iv. CD | 11 |

273 | A particle experience a constant acceleration for 20 sec. after starting from rest, it travels adistance ( s_{1} ) in first ( 10 sec ) and a distance ( s_{2} ) in next 10 sec then A ( cdot s_{2}=s_{1} ) В. ( s_{2}=2 s_{1} ) ( mathbf{c} cdot s_{2}=3 s_{1} ) D. ( s_{2}=0.5 s_{1} ) | 11 |

274 | The velocity time graph of particle moving along a straight line is shown in the figure in the time interval from ( t=0 ) t=8second answer the following three questions. | 11 |

275 | ( U 1J TID 15. The time interval between the throw of balls 1 w of balls is (a) 1.2 sec (b) 0.5 sec (c) 0.8 sec (d) 1 sec o any timescalerval between the book of balls is | 11 |

276 | A person travels along a straight road for the first half length with a velocity ( V_{1} ) and the second half length with a velocity ( V_{2} . ) Then the mean velocity v is given by A ( cdot v=frac{v_{1}+v_{2}}{2} ) B. ( v=sqrt{v_{1} v_{2}} ) c. ( v=sqrt{frac{v_{1}}{v_{2}}} ) D. ( frac{2}{v}=frac{1}{v_{1}}+frac{1}{v_{2}} ) | 11 |

277 | ( P ) is a variable point in the square formed by the lines ( boldsymbol{x}=pm mathbf{1} ) and ( boldsymbol{y}=pm mathbf{1} ) P moves such. that its distance from the origin is loss than its distance from any side of square. The area traced by the point ( P ) is A ( cdot frac{4}{3}(4 sqrt{2}+1) ) B . ( frac{4}{3}(4 sqrt{2}-1) ) c. ( frac{4}{3}(4 sqrt{2}-3) ) D – ( frac{4}{3}(4 sqrt{2}-5) ) | 11 |

278 | A ball of mass ( 1 mathrm{kg} ) is dropped from a height of ( 5 mathrm{m} ) find (i) K.E. of the ball as it is ( frac{1}{2} ) way to the ground. (ii) Find P.E. at this instant. | 11 |

279 | The displacement ( x ) of a particle varies with time according to the relation ( boldsymbol{x}= ) ( frac{a}{b}left(1-e^{-b t}right) . ) Which of the following is not correct? ( (a text { and } b ) are the positive constants. A ( cdot operatorname{At} t=frac{1}{b}, ) acceleration of the particle is ( -frac{a b}{e} ) B. The velocity and acceleration of the particle at ( t=0 ) are ( a ) and ( -a b, ) respectively. C. The particle cannot reach a point at a distance ( x^{prime} ) from its starting position if ( x^{prime}>a / b ) D. The particle will come back to its starting point as ( t rightarrow infty ) | 11 |

280 | Displacement-time graph of a particle moving in a straight line is as shown in figure. Select the correct alternative This question has multiple correct options A. Work done by the all the forces in region OA and BC is positive B. Work done by the forces in region AB is zero c. Work done by all the forces in region BC is negative D. Work done by all the forces in region OA is negative | 11 |

281 | A person standing on the floor of an elevator drops a coin. The coin reaches the floor of the elevator- a) in a time ( t_{1} ) if the elevator is stationary and b) in time ( t_{2} ) if it is moving uniformly, then A ( cdot t_{1}=t_{2} ) в. ( t_{1}>t_{2} ) c ( cdot t_{1}<t_{2} ) D. ( t_{1}t_{2} ) depending on whether the lift is going up or down | 11 |

282 | What is the magnitude of the total force on a driver by the racing car he operates, as it accelerates horizontally along a straight line from rest to ( 60 m / s ) in ( 8.0 s text { (mass of the driver }=80 k g) ) | 11 |

283 | Displacement of a person moving from ( x ) to ( Y ) along a semicircular path of radius r is ( 200 mathrm{m} ). What is the distance travelled by him? | 11 |

284 | A stone is dropped freely from the top of a tower and it reaches the ground in ( 4 s ) taking ( g=10 m s^{-2} ), calculate the height of the tower. ( A cdot 80 m ) B. ( 40 mathrm{m} ) ( c cdot 4 m ) D. 20 ( m ) | 11 |

285 | A ( 120 mathrm{m} ) long train is moving towards west at a speed of ( 10 m s^{-1} ). A small bird flying towards east at a speed of ( 5 m s^{-1} ) crosses the train. What is time taken by the bird to cross the train? A ( .4 mathrm{s} ) B. 8 s ( c cdot 12 s ) D. 24 s | 11 |

286 | A boy throws a ball upwards with a velocity of ( 9.8 m s^{-1} . ) How high does t go? | 11 |

287 | 5. The relation between time and distance is t = cox”. + Bx, where a and ß are constants. The retardation is (a) 20v3 (b) 23v3 (c) 2aßv3 (d) 232v3 | 11 |

288 | A body is projected vertically upwards from the surface of the earth, then the velocity time graph is :- ( mathbf{A} ) B. ( mathbf{c} ) D. | 11 |

289 | The relation between time and distance of a moving body is ( t=5 x^{2}+7 x+8 ) The acceleration of the body will be : ( mathbf{A} cdot-10 v^{3} ) B. ( -10 v^{2} ) ( c cdot 10 v^{3} ) D. ( 10 v^{2} ) | 11 |

290 | A body of mass ( 3 k g ) moving with a constant acceleration covers a distance of ( 10 m ) in the ( 3^{r d} ) second and ( I b m ) in the ( 4^{t h} ) second respectively. The initial velocity of the body is: A ( cdot 10 m s^{-1} ) B. ( 8 m s^{-1} ) ( mathbf{c} cdot 5 m s^{-1} ) D. ( -5 mathrm{ms}^{-1} ) | 11 |

291 | The diagram above shows the pattern of the oil dripping on the road, at a constant rate from a moving car. What information(s) do you get from it about the motion of car? A. Initially it is moving with a constant speed and then it speeds up. B. Initially it is moving with a constant speed and then it slows down C. It is moving with a constant speed. D. None of the above. | 11 |

292 | A girl walks along a straight path to drop a letter in the letterbox and comes back to her initial position. Her displacement-time graph is shown in the figure. Find the average velocity ( A cdot 1 mathrm{m} / mathrm{s} ) B. 2 ( mathrm{m} / mathrm{s} ) ( c cdot-2 m / s ) D. ( 0 mathrm{m} / mathrm{s} ) | 11 |

293 | Two trains start a distance of ( 2000 m ) apart. Train one is moving with a constant speed of ( 30 m / s ) directly towards train 2 which starts from rest and accelerates with a constant acceleration of ( 5 m / s^{2} ) directly towards train 1. When do the trains meet? ( mathbf{A} cdot 22.9 s ) в. ( 34.9 s ) ( c .30 s ) D. ( 40 s ) | 11 |

294 | The speed of a body moving with uniform acceleration is ( u . ) This speed is doubled while covering a distance ( S ) When it covers an additional distance ( boldsymbol{S} ) its speed would become? A ( cdot sqrt{3} u ) B. ( sqrt{5} u ) c. ( sqrt{11} u ) D. ( sqrt{7} u ) | 11 |

295 | Assertion A particle in ( x-y ) plane is related by ( boldsymbol{x}=boldsymbol{a} sin omega boldsymbol{t} ) and ( boldsymbol{y}=boldsymbol{a}(mathbf{1}-cos boldsymbol{omega} boldsymbol{t}) ) where ( a ) and ( omega ) constants, then the particle will have parabolic motion. Reason A particle under the influence of two perpendicular velocities has parabolic | 11 |

296 | An aircraft, initially stationary on a runway, takes off with a speed of ( 85 mathrm{km} ) ( h^{-1} ) in a distance of no more than 1.20 ( mathbf{k m} ) What is the minimum constant acceleration necessary for the aircraft? A ( cdot 0.23 m s^{-2} ) B. ( 0.46 mathrm{ms}^{-2} ) c. ( 3.0 m s^{-2} ) D. ( 6.0 m s^{-2} ) | 11 |

297 | 5. Statement I: An object can possess acceleration a time when it has uniform speed Statement II: It is possible when the direction of motion keeps changing | 11 |

298 | ( A 5 N ) force acts on a ( 2.5 mathrm{kg} ) mass at rest, making it accelerate in a straight line. i) What is the acceleration of the mass? ii) How long will it take to move the mass through ( 20 m ? ) iii) Find its velocity after 3 seconds | 11 |

299 | A train ( 110 m ) long is travelling at ( 60 k m / h r, ) In what time it will cross a cyclist moving at ( 6 k m / h r, ) in the same direction? | 11 |

300 | A particle executing SHM takes 4 s to move from one extreme to another extreme position. Find ( omega ) of the particle. A . ( 0.15 pi ) B. 0.25 ( pi ) c. ( 0.35 pi ) D. 0.45 ( pi ) | 11 |

301 | C. The velocity-time graph of two bodies A and B is is shown in Fig. A.30. Choose correct statement. B Fig. A.30 a. acceleration of B > acceleration of A b. acceleration of A > acceleration of B c. both are starting from same point d. A covers greater distance than B in the same time. temeling lengantenicht line and 1 | 11 |

302 | The velocity of a particle moving along a straight line increases according to the linear law ( v=v_{0}+k x, ) where ( k ) is a constant. Then This question has multiple correct options A. the acceleration of the particle is ( kleft(v_{0}+k xright) ) B the particle takes a time ( frac{1}{k} log _{e}left(frac{v_{1}}{v_{0}}right) ) to attain a velocity ( v_{1} ) c. velocity varies linearly with displacement with slope of velocity displacement curve equal to ( k ). D. the acceleration of the particle is zero. | 11 |

303 | An aeroplane is moving with horizontal velocity u at height h. The velocity of a packet dropped from it on the earth’s surface will be (g is acceleration due to gravity A ( cdot sqrt{u^{2}+h^{2}} ) B . ( sqrt{u^{2}+2 g h} ) c. ( sqrt{u^{2}-h^{2}} ) D. Data Insufficient | 11 |

304 | Illustration 4.33 Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T min. A man cycling with a speed of 20 km h in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road? | 11 |

305 | The distance of a galaxy from Earth is of the order of ( 10^{25} mathrm{m} ). Calculate the order of magnitude of the time taken by light to reach us from the galaxy. | 11 |

306 | Assertion Distance covered by a moving body is always greater than zero. Reason Displacement of a particle can be greater than or less than or equal to zero. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

307 | A student drops an object of mass ( 10 mathrm{kg} ) from a height of 5 m. What is the velocity of the object when it hits the ground? Assume, for the purpose of this question, that ( g=10 m / s^{2} ) | 11 |

308 | 5. A particle travels 10 m in first 5 sec and 10 m in next 3 sec. Assuming constant acceleration what is the distance travelled in next 2 sec (a) 8.3 m (b) 9.3 m (c) 10.3 m (d) None of above | 11 |

309 | An iron ball and a wooden ball of the same radius are released from the same height in vacuum. The times taken by both of them to reach the grounds are A . exactly equal B. roughly equal c. unequal D. nothing can be decided | 11 |

310 | A body is accelerated by applying a force of 30 N. The momentum of the body after 2 sec: A. ( 7.5 mathrm{kg}-mathrm{m} / mathrm{s} ) B. 40 kg-m/s c. ( 120 mathrm{kg}-mathrm{m} / mathrm{s} ) D. ( 60 mathrm{kg}-mathrm{m} / mathrm{s} ) | 11 |

311 | A can travelling at a speed of ( 20 mathrm{m} / mathrm{sec} ) to due north along the highway make it turns on to a side word that has due east. If takes 50 sec for the ear to comp lite the 50 sec for the end of 50 sec the ear has a speed of ( 15 mathrm{m} / mathrm{sec} ) along the side road. Determine the magnitude of an acceleration over the 50 sec internal. | 11 |

312 | A man ‘A’ moves in the north direction with a speed ( 10 mathrm{m} / mathrm{s} ) and man ‘B’ moves in ( 30^{0} ) North of East with ( 10 mathrm{m} / mathrm{s} ). Find the relative velocity of B w.r.t. A. | 11 |

313 | A body freely falling from rest has a velocity v after it falls through distance h.The distance it has to fall down further for its velocity to becomes double is? | 11 |

314 | Motion of the earth around the sun is A. periodic B. non- periodic c. oscillatory D. linear | 11 |

315 | Upton Chuck is riding the Giant Drop at Great America. If Upton free falls for 2.60 seconds, then how far will he fall? ( (operatorname{in} m) ) A . ( 33.1 m ) в. ( 33 m ) ( c .3 .1 m ) D. ( 63.1 m ) | 11 |

316 | Given the velocity-time graph. How can it be used to find the distance of the body in a given time. A. The total area under velocity-time graph B. The net area under velocity-time graph c. slope of velocity-time graph D. negative slope of velocity-time graph | 11 |

317 | Assertion Distance covered by a moving body is always greater than zero. Reason Displacement of a particle can be greater than or less than or equal to zero. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

318 | The velocity of a particle increases from u to v in time ( t ) during which it covers a distance s. If the particle has a uniform acceleration, then which one of the following equations does not apply to the motion? | 11 |

319 | 7. Study the following V-1 g y the following v- graphs in Column I carefully and match appropriately with the statements given in Colu 1. Assume that motion takes place from time 0 to T. Column 1 a. b. Vo 1 O -vo C. Vo d. Vo 1/2 T VO Column II a. Net displacement is positive, but not zero. b. Net displacement is negative, but not zero. c. Particle returns to its initial position again. d. Acceleration is positive. 11 111 H ited long the 11 met | 11 |

320 | A ball of mass ( 50 mathrm{g} ) is thrown upwards. Its rises to a maximum height of ( 100 mathrm{m} ) At what height its kinetic energy will be reduced to ( 70 % ) : A. 30 m B. ( 40 mathrm{m} ) ( c . ) 60m D. 70m | 11 |

321 | A swimmer wants to cross a ( 200 m ) wide river which is flowing at a speed of ( 2 m / s . ) The velocity of the swimmer with respect to river is ( 1 mathrm{m} / mathrm{s} ). How far from the point directly opposite to the starting point does the swimmer reach the opposite bank? ( mathbf{A} cdot 200 m ) B. ( 400 m ) ( c .600 m ) D. ( 800 m ) | 11 |

322 | A stone of mass ( m ) is tied to an elastic string of negligble mass and spring constant k. The unstretched length of the string is ( L ) and has negligible mass. The other end of the string is fixed to a nail at a point P. Initially the stone is at the same level as the point P. The stone is dropped vertically from point P. (a) Find the distance y from the top when the mass comes to rest for an instant, for the first time. (b) What is the maximum velocity attained by the stone in this drop? (c) What shall be the nature of the motion after the stone has reached its lowest point? | 11 |

323 | Which of the following statements contains a reference to displacement? I. The town is a five mile drive along the winding country road. II. The town sits at an altitude of ( 940 mathrm{m} ) III. The town is ten miles north, as the crow flies. A. I only B. III only c. I and III only D. II and III only E . I, II, and III | 11 |

324 | A parachute after bailing out falls ( 50 mathrm{m} ) without friction. When a parachute opens it decelerates at ( 2 m s^{-2} . ) He reaches the ground with a speed of 3 ( m s^{-1} . ) At what height did he bail out? | 11 |

325 | A small cube of mass ‘m’ slides down a circular path of radius ‘R’ formed from a arge block of mass ‘M’ as shown in figure ‘M’ rests on a table and both blocks move without friction. The blocks are initially at rest and ‘m’ starts from the top of the path. Find the velocity ‘v’ of the cube as it leaves the block. Initially the line joining ( mathrm{m} ) and the centre is horizontal. | 11 |

326 | A particle is thrown vertically upwards. Its velocity at one fourth of the maximum height is ( 20 mathrm{m} mathrm{s}^{-1} ). Then, the maximum height attained by it is A . ( 16 mathrm{m} ) B. ( 10 mathrm{m} ) ( c cdot 8 m ) D. 18 | 11 |

327 | A particle is projected vertically upwards from a point ( A ) on the ground. It takes ( t_{1} ) time to reach a point ( B ) but it still continues to move up. If it takes further ( t_{2} ) time to reach the ground from point ( B ) then height of point ( B ) from the ground is A ( cdot frac{1}{2}left(t_{1}+t_{2}right)^{2} ) B. ( g t_{1} t_{2} ) c. ( frac{1}{8}left(t_{1}+t_{2}right)^{2} ) D. ( frac{1}{2} g t_{1} t_{2} ) | 11 |

328 | A police party is moving in a jeep at a constant speed ( v ). They saw a thief at a distance ( x ) on a motorcycle which is at rest. The moment the police saw the thief, the thief started at constant acceleration ( a ). Which of the following relations is true if the police is able to catch the thief? A ( cdot v^{2}<a x ) В. ( v^{2}2 ) ах D. ( v^{2}=a x ) | 11 |

329 | on x-axis at ( (-a, 0) ) and ( (+a, 0) ) respectively, as shown in Fig. They are connected by a light string. A force F is applied at the origin along vertical direction. As a result, the masses move towards each other without loosing contact with ground. What is the acceleration of each mass? Assuming the instantaneous position of the masses as ( (-x, 0) ) and ( (x, 0) ) respectively. ( ^{mathbf{A}} cdot frac{2 F}{m} cdot frac{sqrt{a^{2}-x^{2}}}{x} ) B. ( frac{2 F}{m} cdot frac{x}{sqrt{a^{2}-x^{2}}} ) c. ( frac{F}{2 m} cdot frac{x}{sqrt{a^{2}-x^{2}}} ) D. ( frac{F}{m} cdot frac{x}{sqrt{a^{2}-x^{2}}} ) | 11 |

330 | Assertion When a body dropped from a height explodes in mid-air, its center of mass keeps moving in vertically downward direction Reason Explosion occur under internal forces only. External force is zero. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

331 | A particle having initial velocity ( u ) moves with a constant acceleration ( a ) for a time ( t . ) Find the displacement of the particle in the last one second. A ( cdot u+frac{a}{2}(t-1) ) в. ( u+frac{a}{2}(2 t-1) ) c. ( u+frac{a}{2}(4 t-1) ) D. ( u t+frac{1}{2} a t^{2} ) | 11 |

332 | For ordinary terrestrial experiments, the observer in an inertial frame in the following cases is A. A child revolving in a-giant wheel B. A driver in a sports car moving with a .constant highh speed of ( 200 k m h^{-1} ) on a straight road c. The pilot of an aeroplane which is taking off D. A cyclist negotiating a-sharp curve | 11 |

333 | The time interval between a lightning flash and the first sound of thunder was found to be 5 s. If the speed of sound in air is ( 330 m s^{-1}, ) find the distance of the flash from the observer. | 11 |

334 | A ball is projected horizontally from the top of a tower with a velocity ( v_{0} ). It will be moving at an angle of ( 60^{circ} ) with the horizontal after time – A. ( frac{v_{0}}{sqrt{3} g_{g}} ) B. ( frac{sqrt{3} v_{0}}{g} ) c. ( frac{v_{0}}{g} ) D. ( frac{v_{0}}{2 g g g g g g_{0}} ) | 11 |

335 | 6. A particle starts from rest, accelerates at 2 m/s² for 10 s and then goes for constant speed for 30 s and then decelerates at 4 m/s2 till it stops. What is the distance travelled by it? (a) 750 m (b) 800 m (c) 700 m (d) 850 m | 11 |

336 | A jet airplane is travelling at a speed of ( 500 mathrm{km} / mathrm{h} ) ejects its products of combustion with a speed of ( 1500 mathrm{km} / mathrm{h} ) relative to the jet plane. The speed of the latter with respect to an observer on the ground is: ( mathbf{A} .1500 mathrm{km} / mathrm{h} ) B. 2000 km/h ( c cdot 1000 mathrm{km} / mathrm{h} ) D. ( 500 mathrm{km} / mathrm{h} ) | 11 |

337 | Two blocks are connected by a spring. The combination is suspended, at rest, from a string attached to the ceiling, as shown in ( F ) ig. 6.208 The string breaks suddenly. Immediately after the sting breaks, what is the initial downward acceleration of the upper block of mass ( 2 m ? ) | 11 |

338 | A mass ( m=20 ) g has a charge ( q=3.0 ) mC. It moves with a velocity of ( 20 mathrm{m} / mathrm{s} ) and enters a region of electric field of ( 80 mathrm{N} / mathrm{C} ) in the same direction as the velocity of the mass. The velocity of the mass after 3 seconds in this region is: | 11 |

339 | Two parallel rail tracks run north-south. Train ( A ) moves north with a speed of ( 54 k m h^{-1} ) and train ( B ) moves south with a speed of ( 90 mathrm{kmh}^{-1} ). The relative speed of ( B ) with respect to ( A ) is: ( mathbf{A} cdot 40 mathrm{ms}^{-1} ) (towards north) B. ( 40 mathrm{ms}^{-1} ) (towards south) C ( .10 mathrm{ms}^{-1} ) (towards north) D. ( 10 mathrm{ms}^{-1} ) (towards south) | 11 |

340 | A tennis ball hits a vertically well horizontally at ( 10 mathrm{m} / mathrm{s} ) bounces back at ( 10 m / s ) A ( cdot ) There is no acceleration because ( 10 frac{20 m}{s}-10 frac{20 m}{s}=0 ) B. There may be an acceleration becouse its initial direction is horizontal C. There is an acceleration because there is a momentum change D. Even through there is no change in momentum there is a change in direction. hence it has an acceleration | 11 |

341 | A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the ( n^{t h} ) second to distance covered in ( n ) seconds is A ( cdot frac{2}{n}-frac{1}{n^{2}} ) B. ( frac{1}{n^{2}}-frac{1}{n} ) c. ( frac{2}{n^{2}}-frac{1}{n} ) D. ( frac{2}{n}+frac{1}{n^{2}} ) | 11 |

342 | The driver of a train ( A ) running at ( 25 m s^{-1} ) sights a train ( B ) on the same track with ( 15 m s^{-1} . ) The driver of train ( A ) applies brakes to produce a deceleration of ( 1.0 m s^{-2} . ) If the trains are ( 200 m ) apart, will the trains collide? A . yes B. no c. collision just avoided D. none of these | 11 |

343 | A car A moves with the velocity of ( 20 m s^{-1} ) and car ( B ) with velocity ( 15 m s^{-1} ) as shown in the figure. Find the relative Velocity of B w.r.t. A and A w.r.t. B. | 11 |

344 | A particle is projected vertically upward with velocity u from a point A, when it returns to the point of projection a. Its average speed is u/2. b. Its average velocity is zero. c. Its displacement is zero. d. Its average speed is u. | 11 |

345 | Displacement of a particle is given by the expression ( x=3 t^{2}+7 t-9, ) where ( x ) is in meter and ( t ) is in second. What is acceleration? ( mathbf{A} cdot 1 m / s^{2} ) B . ( 3 m / s^{2} ) ( mathbf{c} cdot 6 m / s^{2} ) D. ( 9 m / s^{2} ) | 11 |

346 | Adjacent graph shows the variation of velocity of a rocket with time. Find the time of burning of fuel from the graph ( left(g=10 m / s^{2}right) ) A ( .10 mathrm{sec} ) B. 110 sec ( mathrm{c} cdot 120 mathrm{sec} ) D. Cannot be estimated from the graph | 11 |

347 | A police inspector in a jeep is chasing a pickpocket on a straight road. The jeep is going at a maximum speed ( v ) (assume uniform). The pickpocket rides on the motorcycle of a waiting friend when the jeep is at a distance ( d ) away and the motorcycle starts with a constant acceleration ( a ). What should be the speed of the jeep so that the pickpocket will be caught? A ( cdot v geq sqrt{frac{3}{2} a d} ) B. ( v geq sqrt{2 a d} ) C ( . v geq sqrt{6 a d} ) D. ( v>2 a d ) | 11 |

348 | A bolt of mass ( 0.3 mathrm{kg} ) falls from the ceilling of an elevator moving down with an uniform speed of ( 7 m / s . ) It hits the floor of the elevator ( length of the elevator ( =3 mathrm{m} ) ) and does not rebound. What is the heat produced by impact? A . 8.82 B . 7.72 J c. 6.62 J D. 5.52 | 11 |

349 | Illustration 4.29 A bird flies to and fro between two cars which move with velocities y, and V2. If the speed of the bird is y, and the initial distance of separation between them is d, find the total distance covered by the bird till the cars meet. – d Fig. 4.46 | 11 |

350 | 4. Statement I: A body can have acceleration even if its velocity is zero at a given instant. Statement II: A body is momentarily at rest when it reverses its direction of velocity. | 11 |

351 | Velocity-time graph, for a body, being a curve implies A. that the body is moving with uniform acceleration B. that the body is moving with variable acceleration C. that the body is moving with zero acceleration D. that the body is at rest | 11 |

352 | A particle moving along a circular path of radius ( 6 m ) uniform speed of ( 8 m s^{-1} ) The average acceleration when the particle completes one half of the revolution is – A ( cdot frac{16}{3 pi} m / s^{2} ) B. ( frac{32}{3 pi} m / s^{2} ) c. ( frac{64}{3 pi} m / s^{2} ) D. None of these | 11 |

353 | Two particles ( P ) and ( Q ) move in a straight line ( A B ) towards each other. ( P ) starts from ( boldsymbol{A} ) with velocity ( boldsymbol{u}_{1}, ) and an acceleration ( a_{1}, Q ) starts from ( B ) with velocity ( u_{2} ) and acceleration ( a_{2} ). They pass each other at the midpoint of ( boldsymbol{A B} ) and arrive at the other ends of ( A B ) with equal velocities This question has multiple correct options A ( cdot ) They meet at midpoint at time ( t=frac{2left(u_{2}-u_{1}right)}{a_{1}-a_{2}} ) B. The length of path specified i.e. ( A B ) is ( l= ) ( frac{4left(u_{2}-u_{1}right)left(a_{1} u_{2}-a_{2} u_{1}right)}{left(a_{1}-a_{2}right)^{2}} ) C. They reach the other ends of ( A B ) with equal velocities if ( left(u_{2}+u_{1}right)left(a_{1}-a_{2}right)=8left(a_{1} u_{2}-a_{2} u_{1}right) ) D. They reach the other ends of ( A B ) with equal velocities if ( left(u_{2}-u_{1}right)left(a_{1}+a_{2}right)=8left(a_{2} u_{1}-a_{1} u_{2}right) ) | 11 |

354 | If a body loses half of its initial velocity on permenenting ( 2 mathrm{cm} ) in a wooden block, them how much it penetrate more before its velocity reduces to one fourth of its initial velocity [Assume retaradation of body in uniform ( ] ) A. ( 2 mathrm{cm} ) B. ( 1 mathrm{cm} ) ( c cdot 0.5 mathrm{cm} ) D. ( 4 mathrm{cm} ) | 11 |

355 | At time ( t=0, ) a car moving along a straight line has a velocity of 16 ms( ^{-1} ) It slows down with an acceleration of -0.5 t ( m s^{-1}, ) where t is in second. Mark the correct statement(s). A. The direction of velocity changes at ( t=8 s ) B. The distance travelled in 4 is approximately ( 58.67 mathrm{m} ) C. The distance travelled by the particle in 10 s is 94 m. D. The speed of particle at ( t=10 ) s is ( 9 m s^{-1} ) | 11 |

356 | For a body moving with uniform acceleration ( a ), initial and final velocities in a time interval ( t ) are ( u ) and ( boldsymbol{v} ) respectively. Then, its average velocity in the time interval ( t ) is : This question has multiple correct options A ( cdotleft(v+frac{a t}{2}right) ) B. ( left(v-frac{a t}{2}right) ) c. ( (v-a t) ) D. ( left(u+frac{a t}{2}right) ) | 11 |

357 | A man of mass ( 40 mathrm{kg} ) is standing on a uniform plank of mass 60 kg lying on horizontal frictionless ice. The man walks from one end to the other end of the plank. the distance walked by the man relative to ice is (given length of plank=5m) A ( .2 mathrm{m} ) B. 3 ( m ) ( c cdot 5 m ) D. ( 4 mathrm{m} ) | 11 |

358 | The slope of a velocity-time graph for the free fall of a body under gravity, starting from rest is (Take ( boldsymbol{g}=mathbf{1 0} boldsymbol{m} boldsymbol{s}^{-2} ) .) A ( cdot 10 m / s^{2} ) В. ( -10 m / s^{2} ) c. ( 0 m / s^{2} ) D. ( 1 m / s^{2} ) | 11 |

359 | The plot of velocity vs time of a moving particle is given above. How do the acceleration and displacement of the particle at point ( boldsymbol{B} ) compare to the acceleration and displacement of the particle at point ( A ? ) A. Acceleration is less, displacement is less B. Acceleration is less, displacement is the same C. Acceleration is less, displacement is greater D. Acceleration is greater, displacement is less E. Acceleration is greater, displacement is greater | 11 |

360 | A particle is thrown up inside a stationary lift of sufficient height. The time of flight is ( T . ) Now it is thrown again with same initial speed ( v_{0} ) with respect to lift. At the time of second throw, lift is moving up with speed ( v_{0} ) and uniform acceleration ( g ) upward (the acceleration due to gravity). The new time of flight is : A ( cdot frac{T}{4} ) в. ( frac{T}{2} ) c. ( T ) D. ( 2 T ) | 11 |

361 | O POWIE 5. If a car covers 2/5th of the total distance with v, speed and 3/5th distance with v2, then average speed is hvit 2 (b) (a) Voir (c) 2012 2 5002 (d) 3v1 +2v2 Vit V2 1. | 11 |

362 | A mass m rotates in a vertical circle of radius ( mathrm{R} ) and has a circular speed ( v_{c} ) at the top. If the radius of the circle is increased by a factor of ( 4, ) circular speed at the top will be A. decreased by a factor of 2 B. decreased by a factor of 4 c. increased by a factor of 2 D. increased by a factor of 4 | 11 |

363 | A particle revolving in a circular path completes first one third of the circumference in ( 2 s, ) while next on third in ( 1 s . ) Calculate its average velocity. | 11 |

364 | LWU Cveils U Ucu 1. Starting at x = 0, a particle moves according to the grank of v vs t shown in Fig. 4.156. Sketch a graph of the instantaneous acceleration a vs t, indicating numerical values at significant points of the graph. 2 (ms) 1(s) Fig. 4.156 | 11 |

365 | An automobile, travelling at ( 40 mathrm{km} / mathrm{h} ) Can be stopped at a distance of ( 40 mathrm{m} ) by applying brakes. If the same automobile is travelling at ( 120 mathrm{km} / mathrm{h} ), the minimum stopping distance in meter, is(assume no skidding) ( mathbf{A} cdot 270 mathrm{m} ) B. ( 160 mathrm{m} ) c. ( 100 mathrm{m} ) D. 360m | 11 |

366 | A particle is constrained to move along a straight line. The graph in the adjoining figure shows the distance ( s ) moved by the particle in time ( t ) measured from the starting time. The shape of the curve indicates that A. Acceleration of the particle is increasing at ( X ) B. The speed of the particle is maximum at the point ( Z ) C. The speed of the particle ( X ) is greater than that ( Z ) D. The particle is at rest at the point ( Y ) | 11 |

367 | Establish the relation ( S_{n} t h=u+ ) ( frac{a}{2}(2 n-1), ) where the letters have their usual meaning. | 11 |

368 | The slope of the velocity time graph for retarded motion is A. positive B. negative c. zero D. can be +ve,- -ve or zero | 11 |

369 | A flat plate moves normally towards a discharging jet of water at the rate of ( mathbf{3} boldsymbol{m} / boldsymbol{s} . ) The jet discharges the water at the rate of ( 0.1 m^{3} / s ) and at the speed of ( 18 m / s . ) The force exerted on the plate due to the jet is: в. 2100 N c. ( 2450 N ) D. ( 1560 N ) | 11 |

370 | The ( x-t ) can be only? A. Parallel to x-axis B. Parallel to t-axis C. Inclined with acute angle D. Inclined with obtuse angle | 11 |

371 | A body falls freely for 10 sec. Its average velocity during this journey (take ( boldsymbol{g}= ) ( left.10 m s^{-2}right) ) A ( .100 m s^{-1} ) B. ( 10 m s^{-1} ) ( mathrm{c} cdot 50 mathrm{ms}^{-1} ) D. ( 5 m s^{-1} ) | 11 |

372 | For a moving particle doing round trip which of the following options may be correct? Here, ( V_{a v} ) is average velocity and ( u_{a v} ) the average speed. A ( cdotleft|V_{a v}right| u_{a v} )C ( cdot V_{a v}=0 ) but ( u_{a v} neq 0 ) D. ( V_{v v} neq 0 ) but ( u_{a v}=0 ) | 11 |

373 | A car falls off a bridge and drops to the ground in ( 0.5 s . ) Let ( g=10 m / s^{2}, ) what is its speed on striking the ground? A. ( 5 m / s ) в. ( 10 m / s ) ( mathbf{c} cdot 15 m / s ) D. ( 20 mathrm{m} / mathrm{s} ) | 11 |

374 | Two particle A and B are initially at a distance x. Initial velocity of particles ( mathbf{A} ) and ( mathrm{B} ) are ( 10 mathrm{m} / mathrm{s} ) and 25 ( mathrm{m} / mathrm{s} ) respectively in the direction shown in figure and their constant accelerations are ( 1 m / s^{2} ) and ( 2 m / s^{2} ) respectively in the direction shown in figure.What should be the minimum value of ( x, ) so that these particle can just avoid collision: ( ^{mathbf{A}} cdot frac{125}{2} m ) в. ( frac{75}{2} ) г c. ( frac{75}{4} ) m D. ( frac{125}{4} m ) | 11 |

375 | Assertion The maximum height reached by an object projected vertically up is directly proportional to the initial velocity u. Reason The maximum height reached by an object thrown up with an initial velocity | 11 |

376 | A car starts from rest and accelerates to a speed of ( 20 mathrm{m} / mathrm{s} ) in a time of ( 5 mathrm{s} ) Find out the average acceleration of car? A ( cdot 100 m / s^{2} ) в. ( 80 m / s^{2} ) c. ( 40 m / s^{2} ) D. ( 20 m / s^{2} ) E ( cdot 4 m / s^{2} ) | 11 |

377 | A proton is projected with velocity ( vec{V}= ) ( 2 hat{i} ) in a region where magnetic field ( vec{B}=(hat{i}+3 hat{j}+4 hat{k}) mu T ) and electric field ( vec{E}=10 hat{i} mu mathrm{V} / mathrm{m} . ) Then find out the net acceleration of proton. ( mathbf{A} cdot 1400 m / s^{2} ) B. ( 700 mathrm{m} / mathrm{s}^{2} ) C ( .1000 mathrm{m} / mathrm{s}^{2} ) D. ( 800 mathrm{m} / mathrm{s}^{2} ) | 11 |

378 | Two particles start moving from the same point along the same stright line. The first moves with constant velocity ( mathbf{v} ) and the second with constant acceleration a. During the time that elapses before the second catches the first, the greater distance between the particles is A ( cdot frac{v^{2}}{a} ) B. ( frac{v^{2}}{2 a} ) c. ( frac{2 v^{2}}{a} ) D. ( frac{v^{2}}{3 a} ) | 11 |

379 | A bead of mass ( 1 / 2 ) kg starts from rest from A to move in a vertical plane along a smooth fixed quarter ring of radius ( 5 m, ) under the action of a constant horizontal force ( F=5 mathrm{N} ) as shown in Fig. ( 8.263 . ) The speed of bead as it reaches point B is A . ( 14.14 m s^{-1} ) B. ( 7.07 mathrm{ms}^{-1} ) ( mathrm{c} cdot 5 mathrm{ms}^{-1} ) D. ( 25 mathrm{ms}^{-1} ) | 11 |

380 | The wheels of an airplane are set into rotation just before landing so that the wheels do not slip on the ground. If the airplane is travelling in the east direction, what should be the direction of angular velocity vector of the wheels? A. East B. west c. south D. North | 11 |

381 | Initially a body is a rest. If its acceleration is ( 5 m s^{-2} ) then the distance travelled in the ( 18^{t h} ) second is: ( mathbf{A} cdot 86.6 m ) B. ( 87.5 m ) ( c .88 m ) D. ( 89 m ) | 11 |

382 | A man swims across a river with speed of ( 5 k m h^{-1} ) (in still water), while a boat goes upstream with speed ( 12 k m h^{-1} ) (in still water). How fast and in which direction does the man appear to go to the boatman? Given that the speed of flowing water is ( 2 k m h^{-1} ) | 11 |

383 | 2. A particle is moving along x-direction with a constant acceleration a. The particle starts from x= x, position with initial velocity u. We can define the position of the particle with time by the relation x= xo + ut +-at? plot the position of the particle in relation with time is following situations (i) If initial position of the particle is on negative x-axis, initial velocity is positive and acceleration is negative. (ii) If initial position is positive, initial velocity is negative and acceleration is positive. | 11 |

384 | An aircraft is flying at a height of ( 3400 m ) above the ground. If the angle subtended at a ground observation point by the aircraft positions ( 10 s ) apart is ( 30^{circ}, ) then the speed of the aircraft is: ( mathbf{A} cdot 10.8 mathrm{ms}^{-1} ) В. ( 1963 mathrm{ms}^{-1} ) c. ( 108 mathrm{ms}^{-1} ) D. 196.3 ( m s^{-1} ) | 11 |

385 | 45. A train is moving at a constant speed V when its driver observes another train in front of him on the same track and moving in the same direction with constant speed y. If the distance between the trains is x, then what should be the minimum retardation of the train so as to avoid collision? b. (V – v) a. (V + v)2 c (V + v)2 (V – v) 2x 2x | 11 |

386 | A particle starting with certain initial velocity and uniform acceleration covers a distance of ( 12 mathrm{m} ) in first 3 s and a distance of ( 30 mathrm{m} ) in next 3 s. The initial velocity of the particle is ( mathbf{A} cdot 3 m s^{-1} ) B . ( 2.5 mathrm{ms}^{-1} ) ( mathbf{c} cdot 2 m s^{-1} ) D. ( 1.5 mathrm{ms}^{-1} ) E ( cdot 1 mathrm{ms}^{-1} ) | 11 |

387 | A body is dropped form the top of a tower. It falls through 40 m during the last two seconds of its fall.The height of tower in ( mathrm{m} ) is ( left(boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2}right) ) ( A cdot 45 mathrm{m} ) B. 50 ( m ) c. ( 60 mathrm{m} ) D. 80 ( m ) | 11 |

388 | A stone falls freely from rest from a height ( h ) and it travels a distance ( frac{9 h}{25} ) in the last second. The value of h is : A . ( 145 mathrm{m} ) B. 100 ( m ) c. ( 122.5 mathrm{m} ) D. 200 m | 11 |

389 | What is the nature of the displacement time graph of a body moving with constant acceleration? | 11 |

390 | A body is thrown vertically up to reach its maximum height in ( t ) seconds. The total time from the time of projection to reach a point at half of its maximum height while returning ( in seconds) is A ( cdot sqrt{2} t ) B. ( left[1+frac{1}{sqrt{2}}right] t ) c. ( frac{3 t}{2} ) D. ( frac{t}{sqrt{2}} ) | 11 |

391 | Where in the classroom was the student after 10 seconds? Distance ( / m ) ( mathbf{1} ) ( mathbf{2} ) ( mathbf{3} ) Time ( / s ) 0 1 2 | 11 |

392 | A body at rest cannot have and | 11 |

393 | If the ratio of distances travelled by freely falling body in the last and last but one second of its motion is ( 7: 5 . ) The velocity with which the body strikes the ground is : (Given ( boldsymbol{g}=mathbf{9 . 8} boldsymbol{m s}^{-2} ) ) ( mathbf{A} cdot 29.4 mathrm{ms}^{-1} ) B. ( 39.2 mathrm{ms}^{-1} ) ( mathbf{c} cdot 19.6 mathrm{ms}^{-1} ) D. ( 49 mathrm{ms}^{-1} ) | 11 |

394 | when and where the ball will meet the elevator. | 11 |

395 | A particle is moving with a constant speed ( v ) in a circle of radius ( R ). What is the magnitude of average acceleration after half revolution? ( ^{text {A }} cdot frac{v^{2}}{2 R} ) в. ( frac{2 v^{2}}{pi R} ) c. ( frac{v^{2}}{R} ) D. ( frac{v^{2}}{pi R} ) | 11 |

396 | 6. A stone is allowed to fall freely from a certain height. Neglecting air resistance, which graph represents the variation of velocity ‘y’ with time t’? . (b) k . (d) | 11 |

397 | Which of the following is/are true about acceleration A. Acceleration is defined as the rate of change of velocity with respect to time B . Its SI unit is ( m / s^{2} ) c. Negative acceleration is called retardation D. All the above | 11 |

398 | A train travels from Agra to Delhi with a constant speed of ( 50 k m h^{-1} ) and returns from Delhi to Agra with a constant speed of ( 40 mathrm{km} mathrm{h}^{-1} ). Find the average speed of the train. | 11 |

399 | Two identical billiard balls are throum against a rigid ball and are reflected back with the same speed. The ( 1^{s t} ) ball is thown normal to the wall, whereas the second ball is thrown at an angle of ( 30^{circ} ) to the wall. Find the ratio of the impulse of the 2 balls. | 11 |

400 | Three identical blocks each having a mass ( mathrm{m} ) are pushed by a force ( mathrm{F} ) on a friction less table. what is the acceleration of the blocks? what is the net force on the block P? hat force does p apply on ( Q . ) what forces ( Q ) apply on ( R ? ) ( A cdot frac{3 F}{8} ) B. ( frac{F}{7} ) ( mathbf{c} cdot frac{F}{3} ) D. ( frac{2 F}{4} ) | 11 |

401 | 1. The velocity of the body at any instant is M+2N14 b. 2N .. M*2016 2 M+2N d. 2N13 | 11 |

402 | State whether true or false. During upward motion of a body projected vertically upward, the angle between velocity and ‘g’ is ( 90^{circ} ) A. True B. False | 11 |

403 | 13. The height of the body after 5 s from the ground is (g = 9.8 ms). a. 8 m b. 12 m c. 18 m d. 24 m | 11 |

404 | Assertion A glass ball is dropped on concrete floor can easily get broken compared if it is dropped wooden floor. Reason On concrete floor glass ball will take less time to come to rest. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

405 | Raindrops of radius 1 mm and mass 4 mg are falling with a speed of ( 30 m / s ) on the head of a bald person. The drops splash on the head and come to rest. Assuming equivalently that the drops cover a distance equal to their radii on the head, estimate the force exerted by each drop on the head. | 11 |

406 | ( Q ) Type your question of the following graphs given below correctly describes the possible motion of the object? ( A ) B. ( c ) D. | 11 |

407 | A body is projected vertically upward with speed ( 10 m / s ) and other at same time with same speed in downward direction form the top of a tower. The magnitude of acceleration of first body with respect to second is ( {text { take } g= ) ( left.10 m / s^{2}right} ) A. zero B . ( 5 m / s^{2} ) c. ( 10 m / s^{2} ) D. ( 20 m / s^{2} ) | 11 |

408 | waysm0VS a sus 8. Which of the following statements is/are correct? a. If the velocity of a body changes, it must have some acceleration b. If the speed of a body changes, it must have some acceleration. c. If the body has acceleration, its speed must change. d. If the body has acceleration, its speed may change. | 11 |

409 | A block of mass ( 5 k g ) is at rest on a smooth horizontal surface. Water coming out of a pipe horizontally at the rate of ( 2 k g s^{-1}, ) hits the block with a velocity of ( 6 m s^{-1} ). The initial acceleration of the block is: A. Zero B. ( 1.2 mathrm{ms}^{2} ) c. ( 2.4 m s^{2} ) D. ( 0.6 mathrm{ms}^{2} ) | 11 |

410 | A motorcycle travelling on the highway at a speed of ( 120 k m / h ) passes a car travelling at a speed of ( 90 mathrm{km} / mathrm{h} ). From the point of view of a passenger on the car, what is the velocity of the motorcycle? A. ( 43 k m / h ) в. ( 23 k m / h ) c. ( 30 k m / h ) D. ( 29 k m / h ) | 11 |

411 | Mr bajaj every morning walks 3 rounds of circular field having ( 100 mathrm{m} ) as radius. What is the total distance covered by him? A. ( 2000 pi m ) в. ( 900 pi m ) c. ( 600 pi m ) D. ( 1500 pi m ) | 11 |

412 | If the plane has an eastward heading, and a ( 20 m / s ) wind blow towards the southwest, then the plane’s speed is- ( mathbf{A} cdot 80 m / s ) B. more than ( 80 mathrm{m} / mathrm{s} ) but less than ( 100 mathrm{m} / mathrm{s} ) ( mathrm{c} cdot 100 mathrm{m} / mathrm{s} ) D. more than ( 100 mathrm{m} / mathrm{s} ) | 11 |

413 | The time at which they collide after the projection of the first ball is A . ( 3.5 s ) B. ( 6.5 s ) c. ( 4.5 s ) D. ( 4.0 s ) | 11 |

414 | Rectilinear propagation is: A. Mode of travelling in curved lines B. Mode of travelling in straight lines C. Ability to bend around obstacles D. Displaying the phenomenon of diffraction | 11 |

415 | The acceleration of a particle as a function of time ( t ) is given as ( a=k . t^{5 / 2} ) If initial speed of the particle ( (a t t=0) ) is ( u ) then its velocity ( v ) as a function of time ( t ) is given as : A ( cdot v=u+frac{2}{5} k t^{5 / 2} ) B. ( v=u+frac{2}{7} k t^{7 / 2} ) c. ( v=u+k t^{5 / 2} ) D. ( v=u+k t^{7 / 2} ) | 11 |

416 | A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward,followed again by 5 steps forward and 3 steps backward, and so on. Each step is ( 1 mathrm{m} ) long and requires 1 s. Plot the ( x ) -t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit ( 13 mathrm{m} ) away from the start. | 11 |

417 | A racing car has a uniform acceleration of ( 4 m s^{-2} ) will it cover in ( 10 s ) after start? | 11 |

418 | A car, starting from rest, accelerates at the rate ( f ) through a distance ( S, ) then continues at constant speed for time ( t ) and then decelerates at the rate ( boldsymbol{f} / mathbf{2} ) to come at rest. If the total distance traversed is ( 15 S, ) then A ( cdot S=frac{1}{2} f t^{2} ) B. ( S=frac{1}{4} f t^{2} ) c. ( S=f t ) D. ( s=frac{1}{72} f t^{2} ) | 11 |

419 | What is the average speed of farmer during the walk? Fig. 3.43 | 11 |

420 | Two trains, each of length ( 100 mathrm{m} ) moving in opposite directions along parallel lines, meet each other with speeds of ( 50 mathrm{kmh}^{-1} ) and ( 40 mathrm{kmh}^{-1} ). If their accelerations are ( 30 mathrm{cms}^{-2} ) and ( 20 mathrm{cms}^{-2}, ) respectively, find the time they will take to pass each other | 11 |

421 | Light travels in a straight line with constant speed of ( 3 times 10^{8} m s^{-1} ) What is the acceleration of light? | 11 |

422 | 33. A ball is dropped into a well in which the water level is at a depth h below the top. If the speed of sound is c, then the time after which the splash is heard will be given by [8 c | 11 |

423 | A ( 2 m ) wide truck is moving with a uniform speed ( v_{0}=8 m / s ) along a straight horizontal road. A pedestrain starts to cross the road with a uniform speed ( boldsymbol{v} ) when the truck is ( 4 boldsymbol{m} ) away from him. The minimum value of ( boldsymbol{v} ) so that he can cross the road safely is ( mathbf{A} cdot 2.62 m / s ) B. ( 4.6 mathrm{m} / mathrm{s} ) ( mathbf{c} .3 .57 mathrm{m} / mathrm{s} ) D. ( 1.414 mathrm{m} / mathrm{s} ) | 11 |

424 | 2. The speed of a body moving on a straight track varies according to v= *2 +3 for 0 <t 5 sec. If distances are in meters, find the distance moved by a particle at the end of 10 sec. | 11 |

425 | 14. What is the velocity of the particle at 12:00 noon? (a) 0.5 km/hr (b) zero (c) 1 km/hr (d) 2 km/hr | 11 |

426 | VII. 7. A body starts from rest and then moves with uniform acceleration. Then a. Its displacement is directly proportional to the square of the time. b. Its displacement is inversely proportional to the square of the time. c. It may move along a circle. d. It always moves in a straight line. 1. CLC 11 | 11 |

427 | Ting +5°m s)-2 t(s) . The acceleration of a particle starting from rest and travelling +5 along a straight line is shown in 2 Fig. A.1. The maximum speed of -5+ the particle is a. 20 ms b. 30 ms-1 c. 40 ms? d. 60 ms -1 Fig. A.1 | 11 |

428 | Which of the following could be true from the figure. A. Motion with a variable retardation B. May be a car approaching its destination c. Motion with decreasing velocity over the time D. All the above | 11 |

429 | toppr Q Type your question same straight line Which of these objects is experiencing a non-zero net force? 4 B. ( c ) ( D ) ( E ) | 11 |

430 | 22. A body dropped from the top of a tower covers a distance 7x in the last second of its journey, where x is the distance covered in the first second. How much time does it take to reach the ground? a. 35 b. 4. c. 55 d. 6s . | 11 |

431 | A particle is moving with velocity ( 5 mathrm{m} / mathrm{s} ) towards the east and its velocity changes to ( 5 mathrm{m} / mathrm{s} ) north in 10 sec. Find the acceleration. A ( cdot sqrt{2} m / s^{2} mathrm{N}-mathrm{w} ) B. ( frac{1}{sqrt{2}} m / s^{2} ) N-w ( ^{mathrm{c}} cdot frac{1}{sqrt{2}} m / s^{2} mathrm{N}-mathrm{E} ) D. ( sqrt{2} m / s^{2} ) N-E | 11 |

432 | Assertion: A combination of two simple harmonic motions with arbitrary amplitudes and phases is not necessarily periodic. Reason: A periodic motion can always be expressed as a sum of infinite number of harmonic motions with appropriate amplitudes. A. If both assertion and reason are true and reason is the correct explanation of assertion B. If both assertion and reason are true and reason is not the correct explanation of assertion c. If assertion is true but reason is false. D. If both assertion and reason are false | 11 |

433 | You apply a ( 75-N ) force to pull a child’s wagon across the floor at a constant speed ( 0.5 m / s . ) If you increase your pull to ( 90 N, ) the wagon will then A. continue to move at ( 0.5 mathrm{m} / mathrm{s} ) B. Speed up immediately and then move at the faster constant speed of ( 0.6 mathrm{m} / mathrm{s} ) c. speed up gradually until it reaches the speed of ( 0.6 m / s ) and then move at that constant speed D. continue to speed up as long as you keep pulling E. Do none of the above | 11 |

434 | A man travels ( 600 mathrm{km} ) by train at 800 ( mathrm{km} / mathrm{hr}, 800 mathrm{km} ) by ship at ( 40 mathrm{km} / mathrm{hr} ) ( 500 mathrm{km} ) by aeroplane at ( 400 mathrm{km} / mathrm{hr} ) and ( 100 mathrm{km} ) by car at ( 50 mathrm{km} / mathrm{hr} . ) What is the average speed for the entire distance? ( mathbf{A} cdot 60 mathrm{km} / mathrm{hr} ) в. ( 60 frac{5}{123} mathrm{km} / mathrm{hr} ) c. ( 62 mathrm{km} / mathrm{hr} ) D. ( 83 frac{1}{3} mathrm{km} / mathrm{hr} ) | 11 |

435 | Which of the following is/are examples of linear motion? A. Motion of a molecule of a gas B. Motion of a stone falling from a certain height c. Motion of a swing D. Motion of a clock hand | 11 |

436 | A body falling freely towards the earth has A. uniform speed B. uniform velocity c. uniform acceleration D. none of these | 11 |

437 | toppr 5 Q Type your question graphs ( A ) ( (mathrm{A}) ) ( B ) ( (mathrm{B}) ) ( c ) ( (mathrm{C}) ) ( D ) ( (mathrm{D}) ) | 11 |

438 | A bus starts from rest moving with acceleration ( 2 m / s^{2} . ) A cyclist ( 96 m ) behind the bus starts simultaneously towards the bus at ( 20 m / s . ) At what earliest time the cyclist will be able to overtake the bus: ( mathbf{A} cdot 8 s ) B. ( 10 s ) ( c cdot 12 s ) D. ( 14 s ) | 11 |

439 | Three blocks ( A, B ) and ( C ) are connected together with the help of strings as shown in figure. The masses are respectively ( 10 mathrm{kg}, 30 mathrm{kg} ) and ( 50 mathrm{kg} ) They are pulled by a force of 18 N on a frictionless horizontal surface Calculate the following: (i) Tension ( T_{1} ) in the first string (ii) Tension ( T_{2} ) in the second string and (iii) Acceleration of the blocks. | 11 |

440 | An object may have This question has multiple correct options A. Varying speed without having varying velocity. B. Varying velocity without having varying speed. C. non-zero acceleration without having varying velocity. D. Non-zero acceleration without having varying speed. | 11 |

441 | A particle starts from a point ( A ) and travels along the solid curve shown in figure. Find approximately the position B of the particle such that the average velocity between the position ( A ) and ( mathrm{B} ) has the same direction as the instantaneous velocity at B. A ( . x=5 m, y=3 m ) B. ( x=3 m, y=2 m ) c. ( x=6 m, y=2 m ) D. ( x=5 m, y=2 m ) | 11 |

442 | A plane flying horizontally at a height of ( 1500 mathrm{m} ) with a velocity of ( 200 mathrm{m} s^{-1} ) passes directly overhead an antiaircraft gun. Then the angle with the horizontal at which the gun should be fired for the shell with a muzzle velocity of ( 400 mathrm{ms}^{-1} ) to hit the plane is: A ( .90^{circ} ) B. ( 60^{circ} ) ( c cdot 30 ) D. ( 45^{circ} ) | 11 |

443 | Tllustration 2.49 Let the instantaneous velocity of a rocket, just after launching, be given by the expression y = 2t + 37 (where v is in ms and t is in seconds). Find out the distance travelled by the rocket from t = 2 s to t = 3 s. | 11 |

444 | 1. A 120 m long train is moving in a direction with speed 20 m/s. A train B moving with 30 m/s in the opposite direction and 130 m long crosses the first train in a time (a) 6 s (b) 36 s (c) 38 s (d) None of these | 11 |

445 | A string tied on a roof can bear a maximum weight of 50 kg wt. The minimum acceleration that can be acquired by a man of ( 98 mathrm{kg} ) to descend will be : (take ( mathfrak{g}=9.8 m / s^{2} ) A. ( 9.8 m / s^{2} ) В. 4.9 ( m / s^{2} ) C ( .4 .8 m / s^{2} ) D. ( 5 m / s^{2} ) | 11 |

446 | Two cars ( c_{1}, ) and ( c_{2} ) moving in the same direction on a straight single lane road with velocities ( boldsymbol{v}_{1}=12 m s^{-1} ) and ( boldsymbol{v}_{2}= ) ( 10 m s^{-1}, ) respectively. When the separation between the two was ( d=200 ) ( mathrm{m}, mathrm{c}_{2} ) started accelerating to avoid collision. What is the minimum acceleration of car ( c_{2} ) so that they do not collide? | 11 |

447 | A water tap leaks such that water drops fall at regular intervals. Tap is fixed ( 5 m ) above the ground. First drop reaches the ground and at that very instant third drop leaves the tap. At this instant the second drop is at a height of ( A, 3 m ) в. 4.5 т ( mathbf{c} .3 .75 mathrm{m} ) D. 2.5 . | 11 |

448 | A ball is thrown vertically upward with a speed of ( 25.0 mathrm{m} / mathrm{s} ). How long does the ball take to hit the ground after it reaches its highest point? A . ( 2.5 s ) B. ( 3 s ) c. ( 4 s ) D. ( 2 s ) | 11 |

449 | U-r graph of a particle performance SHM is as shown in figure. What conclusion cannot be drawn from the graph? A. Mean position of the particle is at ( r=2 mathrm{m} ) B. Potential energy of the particle at mean position is 10 . C. Amplitude of oscillation is ( 1 mathrm{m} ) D. None of these | 11 |

450 | A person of mass M kg is standing on a lift. If the lift moves vertically upwards according to given v-t graph then find out the weight of the man at the following instants : ( left(mathrm{g}=10 mathrm{m} / mathrm{s}^{2}right) ) 1) ( t=1 ) second 2) ( t=8 ) seconds 3) ( t=12 ) seconds | 11 |

451 | Q Type your question school 0 to their homes ( P ) and ( Q ) respectively are shown in Fig. above. Choose the correct entries in the brackets below : (a) (A/B) lives closer to the school than ( (mathrm{B} / mathrm{A}) ) (b) (A/B) starts from the school earlier ( operatorname{than}(mathrm{B} / mathrm{A}) ) (c) ( (mathrm{A} / mathrm{B}) ) walks faster than ( (mathrm{B} / mathrm{A}) ) (d) ( A ) and ( B ) reach home at the (same/different) time (e) ( (mathrm{A} / mathrm{B}) ) overtakes ( (mathrm{B} / mathrm{A}) ) on the road (once/twice). | 11 |

452 | Name the type of motion in which a body moves along a straight path. A. Linear motion B. Rotational motion c. Brownian motion D. Circular motion | 11 |

453 | A particle is thrown vertically upwards with a velocity of ( 4 m s^{-1} . ) The ratio of its accelerations after ( 1 s ) and ( 2 s ) of its motion is A . 2 B. 9.8 c. D. 4.9 | 11 |

454 | A ball thrown up vertically returns to the thrower after 6 s Find it’s initial velocity. A. 20 ( mathrm{m} / mathrm{s} ) B. 40 ( mathrm{m} / mathrm{s} ) ( c .35 mathrm{m} / mathrm{s} ) D. 30 ( mathrm{m} / mathrm{s} ) | 11 |

455 | A particle starts with initial speed ( u ) and retardation a to come to rest in time t. The time taken to cover first half of the total path travelled is | 11 |

456 | toppr Q Type your question_ have variable acceleration. The acceleration can vary in magnitude, or in direction or both. In such cases we find acceleration at any instant, called the instantaneous acceleration. It is ( operatorname{defined} operatorname{as} vec{a}=lim _{Delta t=0} frac{Delta vec{v}}{Delta t}=frac{d vec{v}}{d t} ) That is acceleration of a particle at time ( t ) is the limiting value of ( frac{Delta v}{Delta t} ) at time ( t ) as ( Delta t ) approaches zero. The direction of the instantaneous acceleration ( vec{a} ) is the limiting direction of the vector in velocity ( Delta v ) A particle travels according to the equation such that it’s acceleration ( a=-k v ) where ( k ) is constant of | 11 |

457 | A particle of mass ( m ) moving in the ( x ) direction with speed ( 2 y ) is hit by another particvle of mass ( 2 m ) moving in ( boldsymbol{y} ) direction with speed ( boldsymbol{v} . ) If the collision is perfectly inelastic, the percentage loss in the energy during the collision is close to: A . 44% B. 50% c. 56% D. 62% | 11 |

458 | The motion described by the string of a violin is A. Vibratory motion B. Oscillatory motion c. circulatory motion D. Linear Motion | 11 |

459 | Show that ( s propto t^{2} ) for a freely falling body | 11 |

460 | A freely falling body acquires a velocity ( v m s^{-1} ) in falling through a distance of ( 80 m . ) How much further distance should it fall, so as to acquire a velocity of ( 2 v m s^{-1} ?left(text { Take } g=10 m s^{-2}right) ) | 11 |

461 | The position of an object moving along ( x- ) axis is given by ( x=a+b t^{2} ) where ( boldsymbol{a}=mathbf{8 . 5} boldsymbol{m}, boldsymbol{b}=mathbf{2 . 5} boldsymbol{m} boldsymbol{s}^{-2} ) and ( boldsymbol{t} ) is measured in seconds. What is its velocity at ( t=0 s ) and ( t=2.0 s . ) What is the average velocity between ( t=2.0 s ) and ( t=4.0 s ) | 11 |

462 | A jeep carries trailor on a level road at constant speed of ( 10 mathrm{m} / mathrm{sec} ) calculate the power excerted on the trailer if the tension in the coupling is 2000 Newton? | 11 |

463 | The velocity-position graph of a particle is shown in figure. Write the relation between ( v ) and ( x ) | 11 |

464 | A car travels with a uniform velocity of ( 25 m s^{-1} ) for 5 s. The brakes are then applied and the car is uniformly retarded and comes to rest in further 10 s. Find the acceleration. ( mathbf{A} cdot 5 m s^{-2} ) B. ( -2.5 mathrm{m} mathrm{s}^{-2} ) c. ( 25 mathrm{m} mathrm{s}^{-2} ) D. ( 10 mathrm{m} mathrm{s}^{-2} ) | 11 |

465 | Assertion : Simple harmonic motion is the projection of uniform circular motion on the diameter of the circle in which the later motion occurs. Reason: Simple harmonic motion is a uniform motion. | 11 |

466 | An open knife edge of mass M is dropped from a height h on a wooden floor. If the blade penetrates ( S ) into the wood, the average resistance offered by the wood to the blade is? | 11 |

467 | The graph shows position as a function of time for two trains ( A ) and ( B ) running on parallel tracks. For time greater than ( t=0, ) which of the following statement is true ? A. Both trains have the same velocity at timet ( _{B} ) B. Both trains speed up all the time. c. Both trains may have the same velocity at some time earlier than ( t_{E} ) D. Graph indicates that both trains have the same acceleration at a given time | 11 |

468 | The displacement time graphs of two particles ( A ) and ( B ) are straight lines making angles of respectively ( 30^{circ} ) and ( 60^{circ} ) with the time axis. If the velocity of ( A ) is ( v_{A} ) and that of ( B ) is ( v_{B}, ) then the value of ( frac{v_{A}}{v_{B}} ) is: A ( cdot frac{1}{2} ) в. ( frac{1}{sqrt{3}} ) ( c cdot sqrt{3} ) D. | 11 |

469 | 9. The position vector of a particle is given as ř =(t? – 4t+6)ỉ + (12)ġ. The time after which the velocity vector and acceleration vector becomes perpendicular to each other is equal to (a) 1 sec (b) 2 sec (c) 1.5 sec (d) not possible | 11 |

470 | Two parallel rail tracks run north-south. Train A moves north with a speed of 54 ( k m h^{-1} ) and train ( B ) moves south with a speed of ( 90 mathrm{kmh}^{-1}, ) What is the a. the relative velocity of B with respect to A? b. the relative velocity of the ground with respect to B? c. a velocity of a monkey running on the roof of the train A against its motion (with its velocity of ( 18 mathrm{kmh}-1 ) with respect to the train ( A ) ) as observed by a man standing on the | 11 |

471 | A swimmer can swim in still water with speed ( v ) and the river is flowing with speed ( v / 2 . ) What is the ratio of the time taken to swimming across the river in the shortest time to that of swimming across the river over the shortest distance? ( A cdot frac{sqrt{3}}{2} ) B. ( c cdot 2 ) D. ( sqrt{3} v ) | 11 |

472 | A man standing in a lift falling under gravity releases a ball from his hand. As seen by him, the ball: A. Falls down B. Remains stationary c. Goes up D. Executes SHM | 11 |

473 | 27. In which of the graphs, the particle has more magnitude of velocity at ti than at t2. a. (i), (iii), and (iv) b. (i) and (iii) c. (ii) and (iii) d. None of the above | 11 |

474 | The accompanying graph of position ( x ) versus time represents the motion of a particle. If ( p ) and ( q ) are positive constants, the expression that best describes acceleration ( a ) of the particle is A. ( a=-p-q t ) B ( . a=-p+q t ) ( mathbf{c} cdot a=p+q t ) D. ( a=p-q t ) | 11 |

475 | Two cars are moving in the same direction with the same speed ( 30 mathrm{km} / mathrm{h} ) They are separated by a distance of 4 km. What is the speed of a car moving in the opposite direction if it meets these two cars at an interval of 5 min? | 11 |

476 | A particle is projected vertically upwards and it reaches the maximum height H in time T seconds. The height of the particle at any time t will be A ( cdot g(t-T)^{2} ) B ( cdot H-frac{1}{2} g(t-T)^{2} ) c. ( frac{1}{2} g(t-T)^{2} ) D. ( H-g(t-T)^{2} ) | 11 |

477 | Which of the following statements is incorrect? A. No work is done if the displacement is perpendicular to the direction of the applied force B. If the angle between the force and displacement vectors is obtuse, then the work done is negative C. Frictional force is a non-conservative D. All the central forces are non-conservative | 11 |

478 | 11 BD 10. A boat takes two hours to travel 8 km and back in still water. If the velocity of water is 4 km/h, the time taken for going upstream 8 km and coming back is (a) 2h (b) 2h 40 min (c) 1h 20 min (d) Cannot be estimated with the information given | 11 |

479 | What is the velocity of the ball two seconds after it is dropped? A . 19.6 B . 25 c. 18.4 D. 23 | 11 |

480 | If the distance traveled by a body in the nth second is given by ( (4+6 n) m ) then find the initial velocity and acceleration of the body. A ( cdot 6 mathrm{m} mathrm{s}^{-2}, 7 mathrm{m} mathrm{s}^{-1} ) B. ( 6 mathrm{m} ) s ( ^{-2} ), 3 ( mathrm{m} ) s ( ^{-1} ) C ( cdot 16 mathrm{m} mathrm{s}^{-2}, 17 mathrm{m} mathrm{s}^{-1} ) D. 26 m ( s^{-2} ), 7 ( mathrm{m} s^{-1} ) | 11 |

481 | A machine delivers power to a body which is proportional to velocity of the body. If the body starts with a velocity which is almost negligible, then the distance covered by the body is proportional to: A ( cdot sqrt{v} ) B. ( 3 sqrt{frac{v}{2}} ) ( mathbf{c} cdot v^{5 / 3} ) ( D cdot v^{2} ) | 11 |

482 | Motion which repeats itself after regular intervals. A. oscillatory motion B. vibratory motion c. periodic motion D. none | 11 |

483 | A ball which is thrown vertically upwards reaches the roof of a house 100 ( m ) high. At the moment this ball is thrown vertically upward, another ball is dropped from rest vertically downwards from the roof of the house. At which height will the balls pass each other? ( left(g=9.8 m / s^{2}right) ) | 11 |

484 | The distance ( x ) covered by a body moving in a straight line in ( t ) is given by the relation ( 2 x^{2}+3 x=t . ) If ( v ) is the velocity of the body at a certain of time, its acceleration will be : A ( .-v^{3} ) B. ( -2 v^{3} ) c. ( -3 v^{3} ) D. ( -4 v^{3} ) | 11 |

485 | If he has to continue breaking with the same constant retardation, how much longer would it take for him to stop and how much additional distance he would cover? | 11 |

486 | A disc arranged in a vertical plane has two groves of same length directed along the vertical chord ( A B ) and ( C D ) as shown in the fig. The same particles slide down along ( A B ) and ( C D . ) The ratio of the time ( t_{A B} / t_{C D} ) is then A . 1: 2 B. ( 1: sqrt{2} ) ( c cdot 2: 1 ) D. ( sqrt{2}: 1 ) | 11 |

487 | If speed is a scalar quantity, then average speed A. is a vector quantity B. may be a scalar or a vector quantity c. is also a scalar quantity D. is neither a scalar nor a vector quantity | 11 |

488 | The ( overrightarrow{boldsymbol{s}}-boldsymbol{t} ) graph of a body is as shown in the figure. The time for which the body is in motion is: ( A cdot 2 ) B. 3 ( c .6 ) ( D cdot 10 ) | 11 |

489 | A freely falling body starting from rest, travel ( _{–}-_{-} ) of total distance in 5 th Second A. ( 8 % ) B. ( 12 % ) c. ( 25 % ) D. ( 36 % ) | 11 |

490 | In which of the following cases the net force is not zero? A. A kite skillfully held stationary in the sky B. A ball freely falling from a height c. An airplane rising upwards at an angle of 45 degree with the horizontal with a constant speed D. A cork floating on the surface of water | 11 |

491 | A ball is thrown up,what is its velocity and acceleration at the top? | 11 |

492 | Consider a rod of length of ( l ) resting on a wall and the floor. Its lower end pulled towards left with a constant velocity ( V ) As a result the end ( B ) starts moving down along the wall. Let us find the velocity of the end ( B ) downward when the rod makes an angle ( theta ) with the horizontal. | 11 |

493 | A car moving with a constant acceleration covers the distance between two points ( 180 m ) apart in ( 6 s ) If its speed as it passes the second point is ( 45 mathrm{ms}^{-1}, ) its speed at the first point is A ( cdot 10 m s^{-1} ) В ( cdot 15 mathrm{ms}^{-1} ) c. ( 30 m s^{-1} ) D. ( 45 mathrm{ms}^{-1} ) | 11 |

494 | What does the path of an object look like when it is in uniform motion? | 11 |

495 | Illustration 2.50 A particle moves with a constant accel- eration a = 2 ms along a straight line. If it moves with an initial velocity of 5 ms, then obtain an expression for its instantaneous velocity. | 11 |

496 | 6. A particle starts sliding down a frictionless inclined plane. If Sn is the distance travelled by it from time t = n-1 second to t= n second, the ratio S/Sn+1 is a. 2n-1 2n+1 . 2n+1 2n 2n d. 2n+1 2n +1 2n-1 (IIT JEE, 2004) | 11 |

497 | What are the distance and the displacement of the race car drivers in the ( 500 mathrm{m} ) race in a circular path? A . 500,0 B. 0,0 c. 0,500 D. None of these | 11 |

498 | A ball thrown vertically upwards with a velocity of ( 25 mathrm{m} / mathrm{s} ) reaches its highest point of at ( 35 mathrm{m} ) in 1.5 sec. Find the total distance travelled by the ball and its position after 2 sec respectively. A. Total distance ( =50 mathrm{m}, ) After ( 2 mathrm{sec}=25.4 mathrm{m} ) B. Total distance ( =35 mathrm{m} ), After ( 2 mathrm{sec}=28 mathrm{m} ) c. Total distance ( =37.5 mathrm{m}, ) After ( 2 mathrm{sec}=50 mathrm{m} ) D. Total distance = 70 ( mathrm{m} ), After 2 ( mathrm{sec}=30.4 mathrm{m} ) | 11 |

499 | A stone is dropped from the 25th storey of a multistoried building and it reaches the ground in 5 s. In the first second, it passes through how many storeys of the building. (8 = 10 ms?) a. 1 b. 2 c. 3 d. none of these hodie 12 | 11 |

500 | An astronaut on the surface of an unexplored planet gently throws a rock upwards. It takes 4.00 sec for the rock to reach a maximum height of ( 24.00 m ) relative to where it was released before coming back down. If we take gravitational acceleration to | 11 |

501 | Derive following equations for a uniformly accelerated motion where the symbols have their usual meanings: ( boldsymbol{v}=boldsymbol{u}+boldsymbol{a} boldsymbol{t} ) | 11 |

502 | When a vibrating tuning fork is placed on a table, a large sound is heard. This is due to A. forced vibrations B. resonance c. beats D. reflection | 11 |

503 | toppr Q Type your question time period is proportional to ( sqrt{frac{boldsymbol{m}}{boldsymbol{k}}}, ) as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of ( x=0 ) in a way different from ( k x^{2} ) and its total energy is such that the particle does not escape to infinitely. Consider a particle of mass m moving on the x-axis. Its potential energy is ( boldsymbol{V}(boldsymbol{x})=boldsymbol{alpha} boldsymbol{x}^{4}(boldsymbol{alpha}>boldsymbol{0}) ) for ( |boldsymbol{x}| ) near the origin and becomes a constant equal to ( boldsymbol{V}_{0} ) for ( |boldsymbol{x}| geq boldsymbol{X}_{0}(text { see figure }) ) If the total energy of the particle is ( mathrm{E} ), it will perform periodic motion only if. A ( . E0 ) c. ( V_{0}>E>0 ) D. ( E>V_{0} ) | 11 |

504 | Say Yes or No: Can an object reverse the direction of its motion even though it has constant acceleration? | 11 |

505 | The ratio of the time taken by a body moving with uniform acceleration in reaching two points ( P ) and ( Q ) along a straight line path is ( 1: 2 . ) If the body starts from rest and moves linearly, the ratio of the distance between ( P ) and ( Q ) from the starting point is: ( A cdot 4: ) B. 1: 4 c. 2: 3 D. 3: | 11 |

506 | The rate of change motion is called A. speed B. distance c. time D. velocity | 11 |

507 | Illustration 4.27 A car A moves with velocity 20 ms and car B with velocity 15 ms as shown in Fig. 4.42. Find the relative velocity of B w.r.t. A and A w.r.t. B. 20 ms 15 ms Fig. 4.44 | 11 |

508 | Assertion A body can have acceleration even if its velocity is zero at a given instant of time. Reason A body is numerically at rest when it reverses its direction. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

509 | A car starts from rest and acceleration ( operatorname{at} 4 m / s^{2} ) for ( 5 s . ) After that it moves with constant velocity for ( 25 s ) and then retards at ( 2 m / s^{2} ) until it comes to rest. The total distance travelled by the car is ( mathbf{A} cdot 650 m ) B. ( 527 m ) c. ( 675 m ) D. 573 m | 11 |

510 | To a person, going eastward in a car with a velocity of ( 25 mathrm{Km} / mathrm{hr} ), a train appears to move towards north with a velocity of ( 25 sqrt{3} mathrm{Km} / mathrm{hr} ). The actual velocity of train will be: ( A cdot 25 mathrm{Km} / mathrm{hr} ) B. 50 Km/hr c. ( 5 mathrm{Km} / mathrm{hr} ) D. ( 5 sqrt{3} mathrm{Km} / mathrm{hr} ) | 11 |

511 | Velocity of a particle moving in ( x- ) axis is given as ( v=alpha sqrt{x} ) where ( alpha ) is positive constant. If initially particle was at origin, the position of particle at time ( t ) is A ( cdot frac{alpha^{2} t^{2}}{4} ) в. ( 3 alpha^{2} frac{t^{2}}{4} ) c. ( quad alpha^{2} frac{t^{2}}{2} ) D. ( 3 alpha^{2} frac{t^{2}}{2} ) | 11 |

512 | Which of the following graph represent the motion of a particle starting from rest: ( A ) B. ( c ) D. All of the above | 11 |

513 | Two blocks of masses 400 g and 200 g are connected through a light string going over a pulley which is free to rotate about is axis. The pulley has a moment of inertia ( 1.6 times 10^{-4} k g-m^{2} ) and a radius ( 2.0 mathrm{cm} . ) Find the speed of the blocks at this instant. | 11 |

514 | The ratio between total acceleration of the electron is singly ionized Helium atom and doubly ionization Lithium atom (both in ground state) is A .2 в. ( 4 / 9 ) c. ( 8 / 27 ) ( D ) | 11 |

515 | Assertion The acceleration of an object at a particular time is the slope of the velocity-time graph at that instant of time. Reason For uniform motion acceleration is zero. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

516 | The speed of a car as a function of time is shown in the figure. Find the distance traveled by car in 8 seconds and its acceleration. | 11 |

517 | The negative slope of a velocity-time graph implies A. accelerated motion B. retarded motion c. uniform motion D. no motion | 11 |

518 | The position ( x ) of a particle varies with time ( (t) ) as ( x=a t^{2}-b t^{3} . ) The acceleration of the particle will be equal to zero, at time A ( cdot frac{2 a}{3 b} ) B. ( frac{a}{b} ) c. ( frac{a}{3 b} ) D. ( frac{2 a}{b} ) | 11 |

519 | A particle is moving along a circle such that it completes one revolution in 40 seconds. In 2 minutes 20 seconds, the atio ( frac{mid text {displacement} mid}{text {distance}} ) is? | 11 |

520 | A small object of mass ( m ) falls freely from rest under gravity from height ( h ) from the point where it strikes the inclined plane. Inclined plane is smooth and fixed as shown in figure. The time of impact is ( t ) and the impact is elastic. Find the force that the inclined plane applies on the object after the collision. | 11 |

521 | A jet airplane travelling from east to west at a speed of ( 500 mathrm{km} h^{-1} ) eject out gases of combustion at a speed of ( 1500 k m h^{-1} ) with respect to the jet plane. What is the velocity of the gases with respect to an observer on the ground? A. ( 1000 mathrm{km} h^{-1} ) in the direction west to east. B. ( 1000 mathrm{km} h^{-1} ) in the direction east to west. c. ( 2000 k m h^{-1} ) in the direction west to east. D. ( 2000 mathrm{km} h^{-1} ) in the direction east to west. | 11 |

522 | Displacement x of a particle moving in one dimension is related to time ( t ) by the equation ( t=sqrt{x}+2 . ) The displaclcement of the particle when its velocity is zero, is (Here ( x ) is in metre and ( t ) is in second ( A cdot 4 ) B. 2 ( c ) ( D ) | 11 |

523 | A ball is released from the top of a height ( h ). It takes time ( T ) to reach the ground. What is the position of the ball (from ground) after time ( frac{T}{3} ) A ( cdot frac{h}{9} m ) в. ( frac{7 h}{9} m ) c. ( frac{8 h}{9} m ) D. ( frac{17 h}{18} mathrm{m} ) | 11 |

524 | The velocity of a particle moving in straight line depends on its position ( x ) w.r.t. to fixed origin according to the relation ( 16 x^{2}+4 v^{2}=9 . ) The acceleration of particle when it is at ( x=2 m ) is: A ( .-2 m / s^{2} ) B. ( -8 m / s^{2} ) c. ( -6 m / s^{2} ) D. Not defined | 11 |

525 | Which one of the following is not a periodic motion? A. Rotation of the earth about its axis. B. A freely suspended bar magnet displaced from its N-S direction and released. C. Motion of hands of a clock. D. An arrow released from a bow. | 11 |

526 | A body travels ( 200 mathrm{cm} ) in the first two seconds and ( 220 mathrm{cm} ) in the next 4 seconds with deceleration. The velocity of the body at the end of the ( 7^{text {th }} ) second is ( A cdot 20 mathrm{cm} / mathrm{s} ) B. ( 15 mathrm{cm} / mathrm{s} ) c. ( 10 mathrm{cm} / mathrm{s} ) D. ( 0 mathrm{cm} / mathrm{s} ) | 11 |

527 | An object starts moving with a velocity ( 6 m / s ) and acceleration ( 105 m / s^{2} ) after. What time will it acquire the velocity ( 15 m / s ? ) Find the distance traveled by the object in this time. | 11 |

528 | A particle is projected vertically upwards with velocity ( 40 mathrm{m} / mathrm{s} ). Take ( g=10 m / s^{2} . ) Find the displacement and distance traveled by the particle during its time of flight. | 11 |

529 | Fill in the blank. In the given distance-time graph, speed from ( C ) to ( D ) A . increases B. decreases C. remains same D. can’t predict | 11 |

530 | A mass of ( 5 mathrm{kg} ) is acted upon by a force of ( 1 N ) Starting from rest, how much is distance covered by the mass in ( 10 s ? ) | 11 |

531 | A stone of attached to a rope of length ( =80 mathrm{cm} ) is roated with a speed of 240 rpm. If the rope breaks, find the height to which the stone rises A . ( 10.3 mathrm{m} ) B. 41.2 ( m ) c. ( 20.6 mathrm{m} ) D. 24.9 | 11 |

532 | A body dropped from a height ( h ) with an initial speed zero, strikes the ground with a velocity ( 3 k m / h ). Another body of same mass dropped from the same height ( h ) with an initial speed ( u= ) ( 4 k m / h . ) Find the final velocity of second mass, with which it strikes the ground. ( mathbf{A} cdot 3 k m / h ) в. ( 4 mathrm{km} / mathrm{h} ) ( mathrm{c} .5 mathrm{km} / mathrm{h} ) D. ( 6 mathrm{km} / mathrm{h} ) | 11 |

533 | The displacement of a body which starts from rest, and moving with an acceleration of ( 1 mathrm{ms}^{-2} ) at the end of ( 5 s ) in ( mathrm{m} ) is: A . 12.5 B. 25 ( c .7 .5 ) D. 15 | 11 |

534 | Starting from rest, when a body moves with uniform acceleration, then distances covered after 1 st, 2 nd, ( 3 r d, ) seconds are in the ratio A . 1: 2: 3: 4 B. 1:4:9:16… c. 1: 3: 5: 7 D. 2:3:5:7… | 11 |

535 | Which of the following is false. A. Uniform acceleration means that the acceleration doesn’t change over time. B. Variable acceleration may change over time. c. Both ( A & B ) D. None of the above | 11 |

536 | Which of the following is not an example of a motion with a constant speed but variable velocity? A. A car moving at ( 80 k m p h ) on a straight road B. A car moving at ( 80 k ) mph on a square track c. A car moving at ( 80 k m p h ) on a circular track D. A car moving at ( 80 k m p h ) on a zig-zag path | 11 |

537 | A stone is dropped from the ( 16^{t h} ) storey of a multi-storeyed building and it reaches the ground in 4 s. In the first second, it passes through how many storeys of the building ( left(boldsymbol{g}=mathbf{1 0 m s}^{-2}right) ) ? ( mathbf{A} cdot mathbf{1} ) B. 2 ( c cdot 3 ) D. None | 11 |

538 | Two unequal masses ( left(M_{1} text { and } M_{2}right. ) )are connected by a string which passes over a frictionless pulley (Fig. 3.1). If ( boldsymbol{M}_{mathbf{1}} ) ( M_{2} ) and the table are frictionless, the acceleration of the masses would be ( A ) B. ( frac{M_{1}+M_{2}}{M_{1} g} ) c. ( frac{M_{2} g}{M_{1}+M_{2}} ) D. None of these | 11 |

539 | The velocity-time graph of a particle in one-dimensional motion is shown in the figure. Which of the following formulae is correct for describing the motion of the particle over the time interval ( t_{1} ) to ( t_{2} ? ) A ( cdot xleft(t_{2}right)=xleft(t_{1}right)+vleft(t_{1}right)left(t_{2}-t_{1}right)+left(frac{1}{2}right) aleft(t_{2}-t_{1}right)^{2} ) B ( cdot vleft(t_{2}right)=vleft(t_{1}right)+aleft(t_{2}-t_{1}right) ) C ( cdot v_{text {average }}=frac{left(xleft(t_{2}right)-xleft(t_{1}right)right)}{left(t_{2}-t_{1}right)} ) D. ( a_{text {average}}=frac{left(vleft(t_{t}right)+vleft(t_{1}right)right)}{left(t_{2}-t_{1}right)} ) | 11 |

540 | How much does the monkey’s velocity change from ( t=2 s ) to ( t=7 s ? ) A. ( +3 m / s ) B. ( +1 m / s ) ( mathrm{c} cdot 0 mathrm{m} / mathrm{s} ) ( mathbf{D} cdot-1 m / s ) ( mathrm{E} cdot-3 mathrm{m} / mathrm{s} ) | 11 |

541 | A river is flowing with velocity ( 5 k m / h r ) as shown in the figure. A boat starts from ( A ) and reaches the other bank by covering shortest possible distance. Velocity of boat in still water is ( 3 k m / h r ) The distance boat covers is : ( mathbf{A} cdot 500 m ) B. ( 400 sqrt{2} ) c. ( 300 sqrt{2} ) D. ( 600 m ) | 11 |

542 | A ball dropped from a point ( P ) crosses a point ( Q ) in ( t ) second. if ( R ) and ( S ) are points such that, ( P Q=Q R=R S ), the time taken by the ball to travel from ( boldsymbol{R} ) to ( S ) is: A. ( (sqrt{2}-1) t ) B . ( (sqrt{3}-sqrt{2}) t ) c. ( sqrt{3} t ) D. ( (sqrt{3}-1) t ) | 11 |

543 | At what time after throwing does it hit the plateau?? ( left(g=9.8 m / s^{2}right) ) A . ( 0.9 s ) B. 3.04 ( s ) ( c cdot 4 s ) D. ( 1 s ) | 11 |

544 | Velocity-time graph of a body with uniform velocity is a straight line: A. parallel to x-axis B. parallel to y-axis c. inclined to ( x ) – axis D. inclined to y-axis | 11 |

545 | An object has an initial velocity ( u ) and an acceleration ( a ). The object moves in a straight line through a displacement s and has final velocity ( v ) The above quantities are related by the equation shown ( boldsymbol{v}^{2}=boldsymbol{u}^{2}+mathbf{2} boldsymbol{a} boldsymbol{s} ) Which condition must be satisfied in order for this equation to apply to the motion of the object? A. The direction of ( a ) is constant and the direction of ( a ) is the same as the direction of ( s ) B. The direction of ( a ) is constant and the direction of ( a ) is the same as the direction of ( u ) c. The magnitude of ( a ) is constant and the direction of ( a ) i constant D. The magnitude of ( a ) is constant and the direction of ( a ) is the same as the direction of ( v ) | 11 |

546 | A car, starting from rest, accelerates at the rate ( boldsymbol{f} ) through a distance ( boldsymbol{S}, ) then continues at constant speed for time ( t ) and then decelerates at the rate ( frac{f}{2} ) to come to rest. If the total distance traversed is ( 15 S, ) then A ( cdot S=frac{1}{2} f t^{2} ) B . ( S=frac{1}{4} f t^{2} ) ( mathbf{c} cdot S=frac{1}{72} f t^{2} ) D. ( S=frac{1}{6} f t^{2} ) | 11 |

547 | Area under the velocity-time graph gives A. Displacement B. Speedd c. Acceleration D. none of the above | 11 |

548 | A particle moves with an initial velocity ( boldsymbol{v}_{0} ) and retardation ( boldsymbol{alpha} boldsymbol{v}, ) where ( boldsymbol{v} ) is its initial velocity at any time ( t ) and ( alpha ) is a constant This question has multiple correct options A cdot The particle will cover a total distance ( frac{v_{0}}{alpha} ) B. The particle will come to rest after a time ( frac{1}{alpha} ) c. The particle will continue to move for a very long time. D. The velocity of the particle will become ( frac{v_{0}}{2} ) after a time ( frac{1}{alpha} ) | 11 |

549 | 39. The deceleration experienced by a deceleration experienced by a moving motor boat, its engine is cut-off is given by dv/dt = -kv”, where k is constant. If vo is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time t after the cut-off is a. 1/2 b. v vo c. vekt d. Tzvākt +1 in the velocity | 11 |

550 | Derivation of second equation of motion is: ( mathbf{A} cdot d theta=w d 2 t ) B ( . d theta=w d t ) ( mathbf{c} cdot d theta=w d 3 t ) ( mathbf{D} cdot d theta=w d t^{2} ) | 11 |

551 | A train starts from rest and moves with a constant acceleration for the first ( 1 mathrm{km} ) For the next ( 3 mathrm{km}, ) it has a constant velocity and for last ( 2 mathrm{km} ), it moves with constant retardation to come to rest after a total time of motion of 10 min. Find the maximum velocity and the three time intervals in the three types of motion. | 11 |

552 | A car moving at a certain speed stops on applying brakes within ( 16 mathrm{m} ). If the speed of the car is doubled, maintaining the same retardation. then at what distance does it stop? Also, calculate the percentage change in this distance.(in percent) A . 300 B. 3000 ( c cdot 500 ) D. 1300 | 11 |

553 | Two cars start off to race with velocities ( 4 m / s ) and ( 2 m / s ) and travel in straight line with uniform accelerations ( 1 m / s^{2} ) and ( 2 m / s^{2} ) respectively. If they reach the final point at the same instant, then the length of the path is A . ( 30 m ) B. ( 32 m ) c. ( 20 m ) D. ( 24 m ) | 11 |

554 | A boy on a cycle pedals a circle of 20 metres radius at a speed of 20 metre/sec. The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is ( left(boldsymbol{g}=mathbf{9} . boldsymbol{8 m} / mathbf{s e c}^{2}right) ) ( mathbf{A} cdot 60.25 ) B . 63.90 c. ( 26.12^{circ} ) D. ( 30.00^{circ} ) | 11 |

555 | What average speed, most nearly, is required to run a mile ( (1.6 mathrm{km}) ) in 4 minutes? A. ( 4.0 mathrm{m} / mathrm{s} ) в. ( 7.0 mathrm{m} / mathrm{s} ) c. ( 40.0 mathrm{m} / mathrm{s} ) D. ( 400.0 mathrm{m} / mathrm{s} ) | 11 |

556 | Is it possible for an accelerating body to have zero velocity? Explain. | 11 |

557 | The initial velocity of a particle is ( u ) ( (a t t=0) ) and the acceleration is given by ( boldsymbol{f}=boldsymbol{a t} . ) Which of the following relations is valid? A ( cdot v=u+a t^{2} ) B. ( v=u+frac{a t^{2}}{2} ) ( mathbf{c} cdot v=u+a t ) ( mathbf{D} cdot v=u ) | 11 |

558 | TDD) 14m/s ) ) on a straight level road with a uniform speed of 60 km/h. It is followed by another car B 18 moving with a speed of 70 km/h. When the distance between them is 2.5 km, the car B is given a deceleration of 20 km/h?. After how much time will B catch up with A (a) 1 hr (b) 1/2 hr (c) 1/4 hr (d) 1/8 hr | 11 |

559 | A particle is executing a two dimensional motion. What is the minimum number of velocity-time graphs required to study the motion of the particle using graphs? ( A ) B. 2 ( c cdot 3 ) D. 4 | 11 |

560 | A block of metal weighing 2 kg is resting on africtionless plane. It is struck by a jet releasing waterat a rate of ( 1 mathrm{kg} / mathrm{s} ) with a speed of ( 5 mathrm{m} / mathrm{s} ) Theinitial acceleration of the block will be :- | 11 |

561 | 2. A 210 meter long train is moving due North at a of 25 m/s. A small bird is flying due South a little above the train with speed 5 m/s. The time taken by the bird to cross the train is (a) os (6) 75 (c) 95 (d) 10s | 11 |

562 | The displacement (s) of a particle moving along a straight line is related to time ( t ) as ( s=a t^{3}+b t^{3}+c t, ) where ( a, b ) and ( c ) are constants. What is the ratio of its initial velocity and initia acceleration? ( A cdot infty ) в. ( frac{b}{2 c} ) c. ( frac{c}{2 c} ) D. | 11 |

563 | A ball is thrown vertically upwards with a velocity of ( 10 m s^{-1} . ).IT returns to the ground with a velocity of9 ( m s^{-1} ) 1. If ( g= ) ( 9.8 m s^{-} 2, ) then the maximum height attained by the ball is nearly ( assume a resistance to be uniform) A . ( 5.1 mathrm{m} ) B. 4.1 ( m ) c. ( 4.61 mathrm{m} ) D. ( 5 mathrm{m} ) | 11 |

564 | 12. Find the time between 12:00 noon and 1:00 pm at which speed is maximum. (a) 12:00 noon (b) 1:00 pm (c) 11:00 am (d) 2:00 pm | 11 |

565 | State whether true or false. The equations of motion are applicable only when the body moves with constant acceleration. A. True B. False | 11 |

566 | An inclined plane makes an angle ( 30^{circ} ) with horizontal. A groove OA=5cm cut on the plane makes an angle ( 30^{0} ) with ( 0 x ) A short smooth cylinder is free ti slide down the groove under the influence of gravity. the time taken by the cylinder to reach from ( A ) to 0 is ( left(g=10 m / s^{2}right) ) ( mathbf{A} cdot 4 s ) в. ( 10 s ) c. ( 2 s ) D. ( 5 s ) | 11 |

567 | A particle starts with velocity ( u ) and moves with constant acceleration ( a ) What is the nature of graph between the displacement ( (x) ) vs. time ( (t) ? ) A. Straight line B. Part of an ellipse c. Parabola D. Rectangular hyperbola | 11 |

568 | A stone is dropped from the top of a tower. If it hits the ground after 10 seconds, what is the height of the tower? A. ( 400 mathrm{m} ) B. 450m c. ( 500 mathrm{m} ) D. ( 490 mathrm{m} ) | 11 |

569 | A body dropped from the top of the tower covers a distance ( 7 x ) in the last second of its journey, where ( x ) is the distance covered in first second. How much time does it takes to reach the ground? A . ( 3 s ) B. ( 4 s ) ( c .5 s ) D. ( 6 s ) | 11 |

570 | An object is moving along a straight line with a uniform speed of ( 10 m / s ) Plot a graph showing distance versus time from ( t=0 ) to ( t=10 s ) | 11 |

571 | vertically varies with time. It the ettect of air resistance is neglected which graph correctly describes this behavior? ( A ) B. ( c ) D. None of them | 11 |

572 | A rubber ball of mass ( 4 mathrm{kg} ) has the same diameter as a plastic ball of mass 0.5 kg. Both the balls are dropped simultaneously from the roof of a building.When they are ( 8 mathrm{m} ) above the ground,they have the same A. Kinetic energy B. Potential energy c. Momentum D. Acceleration | 11 |

573 | Two different masses ( m ) and ( 2 m ) are fallen from height ( boldsymbol{H}_{1} ) and ( boldsymbol{H}_{2} ) respectively. First mass takes t second and another takes ( 2 t ) second, then the ratio of ( boldsymbol{H}_{1} ) and ( boldsymbol{H}_{2} ) is? A .2: 1 B. 4: 1 c. 0.25: 1 D. None of these | 11 |

574 | A body falls freely under effect of gravity The ratio of distance covered by the body in 1,2,3 seconds respectively is : A. 1: 3: 5 5 B. 1: 2: 3 c. 1: 4: 9 D. None of above | 11 |

575 | A body starts moving with a velocity ( v_{0}=10 m s^{-1} . ) It experiences a retardation equal to ( frac{1}{5} v^{2} ). Its velocity after ( 2 s ) is given by ( mathbf{A} cdot-3.33 m s^{-1} ) B. ( +4 m s^{-1} ) c. ( +3.33 m s^{-1} ) D. ( +6 m s^{-1} ) | 11 |

576 | Three stars each of mass ( mathrm{M} ) and radius ( mathrm{R} ) are initially at rest and the distance between centres of any two stars is d and they form an equilateral triangle. They start moving towards the centroid due to mutual force of attraction. What are the velocities of the stars just before the collision? Radius of each star is ( mathrm{R} ). | 11 |

577 | A body moves at a speed of ( 100 mathrm{ms}^{-1} ) for 10 s and then moves at a speed of 200 ( m s^{-1} ) for 20 s along the same direction The average speed is | 11 |

578 | ( mathbf{A} ) ( 13 N ) weight and a ( 12 N ) weight are connected by massless string over a mass less friction less pulley, The ( 13 N ) weight has a downward acceleration with magnitude equal to that of a freely falling body time A . 1 B. 1/12 c. ( 1 / 13 ) D. ( 1 / 25 ) | 11 |

579 | Two straight lines drawn on the same displacement time graph make angles ( 45^{circ} ) and ( 60^{circ} ) as shown. The ratio of the two velocities is 4. ( sqrt{3}: 1 ) 3.1: ( c cdot 1: 2 ) ( sqrt{3}: 2 ) | 11 |

580 | A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of ( 3.0 m / s^{2} ) for 8.0 s. How far does the boat travel during this time? | 11 |

581 | A body is gently on a conveyor belt moving ( 3 mathrm{m} / mathrm{s} ). If ( mu=0.5 ) how far will the body move relative to the belt befour coming to rest ( ?left(g=10 mathrm{m} / mathrm{s}^{2}right) ) ( A cdot 0.3 mathrm{m} ) B. 0.6 ( m ) c. ( 0.9 mathrm{m} ) D. ( 0.8 mathrm{m} ) | 11 |

582 | (a) How long will a stone take to fall to the ground from the top of a building ( 80 m ) high and (b) what will be the velocity of the stone on reaching the ground? (Take ( left.g=10 m s^{-2}right) ) B . (a) ( 4 s ), (b) ( 30 m s^{-1} ) C ( cdot ) (a) ( 10 s, ) (b) ( 40 mathrm{m} mathrm{s}^{-1} ) D. (a) ( 4 s, ) (b) ( 40 mathrm{m} mathrm{s}^{-1} ) | 11 |

583 | Water drops fall at regular intervals from a roof. At an instant when a drop is about to leave the roof, the separations between 3 successive drops below the roof are in the ratio A .1: 2: 3 B. 1: 4: 9 ( mathrm{c} cdot 1: 3: 5 ) D. 1: 5: 13 | 11 |

584 | A car travels first ( 30 mathrm{km} ) with a uniform speed of ( 60 mathrm{kmh}^{-1} ) and then next 30 ( mathrm{km} ) with a uniform speed of ( 40 mathrm{kmh}^{-1} ) Calculate the total time of journey, A. 50 min B. 75 min ( c .60 mathrm{min} ) D. ( 100 mathrm{min} ) | 11 |

585 | An object starts from rest and attains a uniform acceleration of ( 4 m s^{-2} ). what will be its velocity at the end of half a meter? | 11 |

586 | In the give velocity-time graph, acceleration equals ( A cdot 4 m / s^{2} ) B. ( 5 mathrm{m} / mathrm{s}^{2} ) ( c cdot 4.5 m / s^{2} ) ( mathbf{D} cdot 3.5 mathrm{m} / mathrm{s}^{2} ) | 11 |

587 | To a person going east in a car with a velocity of ( 25 k m p h, ) a train appears to move towards north with a velocity of ( 25 sqrt{3} k m p h . ) The actual velocity ( A .5 mathrm{kmph} ) B. 25 kmph c. ( 50 mathrm{kmph} ) D. 53 kmph | 11 |

588 | During upward motion of a body projected vertically upward, the angle between velocity and ‘g’ is ( 90^{circ} ) A. True B. False | 11 |

589 | What is free fall? A. It is the acceleration experienced due to gravity only. B. When an object falls under the effect of gravity alone. C. Both A and B D. Neither A nor B | 11 |

590 | A point moves with uniform acceleration and ( v_{1}, v_{2}, v_{3} ) denote the average velocities in three successive intervals of time ( t_{1}, t_{2}, t_{3} . ) Then, the relation ( frac{boldsymbol{v}_{1}-boldsymbol{v}_{2}}{boldsymbol{v}_{2}-boldsymbol{v}_{3}} ) is A ( frac{t_{1}-t_{2}}{t_{2}+t_{3}} ) B. ( frac{t_{1}+t_{2}}{t_{2}+t_{3}} ) c. ( frac{t_{1}-t_{2}}{t_{1}+t_{3}} ) ( mathbf{D} cdot frac{t_{1}-t_{2}}{t_{2}-t_{3}} ) | 11 |

591 | Acceleration of the particle when its velocity becomes half of the initial velocity | 11 |

592 | A particle is initially at rest, it is subjected to a linear acceleration ( a, ) as shown in the figure. The maximum speed attained by the particle is A. ( 605 mathrm{m} / mathrm{s} ) B. ( 110 mathrm{m} / mathrm{s} ) ( mathrm{c} .55 mathrm{m} / mathrm{s} ) D. ( 550 mathrm{m} / mathrm{s} ) | 11 |

593 | Given the velocity-time graph. How can it be used to find the displacement of the body in a given time: A. The net area of the colored region, under velocity-time ( operatorname{graph} ) B. The total area under velocity-time graph c. Slope of velocity-time graph D. None of the above | 11 |

594 | The acceleration of a body in motion can be known from slope of A. Force-time graph B. work-time graph c. displacement-time graph D. velocity-time graph | 11 |

595 | from the top of a tower in vertically upward direction. Velocity at a point h met point of projection is twice of the velocity at a point n bove the point of projection. Find the maximum height reached by the ball above the top of tower. a. 2h b . 3h c. (5/3)h d. (4/3)h A . | 11 |

596 | у тошоп пC Втоапа попитапсоuy 32. A particle is dropped from rest from a large height. Assume g to be constant throughout the motion. The time taken by it to fall through successive distances of 1 m each will be a. All equal, being equal to 27 g second b. In the ratio of the square roots of the integers 1, 2, 3, c. In the ratio of the difference in the square roots of the integers, i.e., V1,(V2 – V1),(13 – 12), (14 – 13),… d. In the ratio of the reciprocals of the square roots of the ie 1 1 1 integers, 1.e., TTT | 11 |

597 | For the velocity time graph shown in the figure, the distance covered by the body in the last two seconds of its motion is what fraction of the total distance travelled by it in all the seven seconds? ( A ) B. 4 ( c ) D. | 11 |

598 | 15. Two balls are dropped from the top of a high tower with a time interval of to second, where to is smaller than the time taken by the first ball to reach the floor, which is perfectly inelastic. The distance S between the two balls, plotted against the time lapse t from the instant of dropping the second ball, is best represented by a. b. A | 11 |

599 | Which of the following is true about distance and time. A. distance and time are always directly proportional to each other B. distance and time are always indirectly proportional to each other. C. distance and time are directly proportional when the velocity is constant. D. distance and time are indirectly proportional when the velocity is constant | 11 |

600 | A train moves northwards with speed ( 80 k m h^{-1}, ) while a car moves towards east with a speed of ( 60 k m h^{-1} . ) What is the velocity of the train w.r.t the driver of the car? | 11 |

601 | The length of minute hand of a clock is 14 ( m . ) Calculate the speed at which the tip of minute hand moves. | 11 |

602 | Ine elastıc collısıon between two bodies, A and B, can be considered using the following model. A and B are free to move along a common line without friction. When their distance is greater than ( d=1 mathrm{m}, ) the interacting force is zero; when their distance is less than ( d, ) a constant repulsive ( F=6 N ) is present. The mass of body ( A ) is ( m_{A}=1 mathrm{kg} ) and it is initially at rest; the mass of body ( mathrm{B} ) is ( m_{B}=3 mathrm{kg} ) and it is approaching body A head-on with a speed ( v_{o}=2 mathrm{m} / mathrm{s} ). Find the minimum distance between ( A ) and ( B ) A. ( 0.25 mathrm{m} ) B. ( 0.50 mathrm{m} ) c. ( 0.75 mathrm{m} ) D. ( 2 mathrm{m} ) | 11 |

603 | A person sitting on the top of a tall building is dropping balls at regular intervals of one second. Find the position of the ( 3 r d, 4 ) th and 5 th ball when the 6 th ball is being dropped A. ( 24.1 mathrm{m}, 19.6 mathrm{m} ) and ( 4.9 mathrm{m} ) above the top B. 44.1 ( mathrm{m}, 19.6 mathrm{m} ) and 4.9 ( mathrm{m} ) bellow the top c. ( 44.1 mathrm{m}, 12.6 mathrm{m} ) and ( 4.9 mathrm{m} ) bellow the top D. ( 41.4 mathrm{m}, 29.6 mathrm{m} ) and ( 4.9 mathrm{m} ) bellow the top | 11 |

604 | In figure A. Retardation is uniform B. Velocity is decreasing with time C. Beyond ( M ), the body has negative velocity D. All the above are incorrect | 11 |

605 | Two cars ( X ) and ( Y ) start off to a race on a straight path with initial velocities of 8 ( mathrm{m} / mathrm{s} ) and ( 5 mathrm{m} / mathrm{s} ) respectively. Car ( mathrm{X} ) moves with uniform acceleration of ( 1 m / s^{2} ) and car ( Y ) moves with uniform acceleration of ( 1.1 mathrm{m} / mathrm{s}^{2} . ) If both the cars reach the winning post together find the length of the track. A. ( 1000 mathrm{m} ) B. 2000 c. 2500 D. 2280 | 11 |

606 | The displacement ( x ) of a particle varies with time according to the relation ( x= ) ( frac{a}{b}left(1-e^{-b t}right) . ) Which of the following statements is incorrect? A ( cdot ) At ( t=frac{1}{b}, ) the displacement of the particle is nearly ( frac{2}{3}left(frac{a}{b}right) ) B. the velocity and acceleration of the particle at ( t=0 ) are ( a ) and ( -a b ) respectively C . the particle cannot go beyond ( x=frac{a}{b} ) D. the particle will come back to its starting point at ( t rightarrow ) ( infty ) | 11 |

607 | A particle of mass ( mathrm{m} ) is released from a certain height h with zero initia velocity. It strikes the ground elastically (direction of its velocity is reversed but magnitude remains the same). Plot the graph between its kinetic energy and time till it returns to its initial position. | 11 |

608 | Two identical trains take 3 sec to pass one another when going in the opposite direction but only 2.5 sec if the speed of one is increased by ( 50 % ). The time one would take to pass the other when going in the same direction at their original speed is A ( .10 mathrm{sec} ) B. 12 sec c. 15 sec D. 18 sec | 11 |

609 | (0) 1 + 1 + 1 + C 16. The change in velocity after 3 seconds of its start is: (a) 30 m/s (b) 39 m/s (c) 3 m/s (d) 20 m/s | 11 |

610 | If ( boldsymbol{v}=boldsymbol{x}^{2}-mathbf{5} boldsymbol{x}+mathbf{4}, ) Find the acceleration of the particle when velocity of the particle is zero. ( mathbf{A} cdot mathbf{0} ) B. 2 ( c cdot 3 ) D. none of these | 11 |

611 | A balloonist is ascending at a velocity of ( 12 m s^{-1} . A ) packet is dropped from it when it is at height of ( 65 m ) from the ground, it drops a packet. Time taken by the packet to reach the ground is ( mathbf{A} cdot 5 s ) B. ( -5 s ) c. ( 7 s ) D. ( frac{13}{5} s ) | 11 |

612 | In the graph below is given the variation of force with time. Find out the net change in momentum of the object A. ( 24 k g m / s ) B. ( 22 k g m / s ) ( mathbf{c} .6 mathrm{kgm} / mathrm{s} ) D. ( 3 k g m / s ) | 11 |

613 | Give reasons: When a body falls freely to the ground, its motion has a uniform acceleration. | 11 |

614 | An ( N C C ) parade is going at a uniform speed of ( 6 k m / h ) through a place under a berry tree on which a bird is sitting at a height of 12.1 m. At a particular instant the bird drops a berry. Which cadet (give the distance from the tree at the instant) will receive the berry on his uniform? | 11 |

615 | The following displacement – time graph shows the posiitions of a body at different times. Calculate the velocity of the body as it moves from (i) ( A-B ) (ii) ( B-C ) ( (text { iii) } C-D ) | 11 |

616 | 2. For a body projected vertically up with a velocity vo from the ground, match the following. Column I Column II a. Zero for round trip Vav (Average velocity) ii. uav (average speed) 1+12 over any time interval b. – 2 iii. 1 ascent over the total time of its flight iv. Tdescent | 11 |

617 | On a long horizontally moving belt, a child runs to and fro with a speed ( 9 mathrm{km} ) ( boldsymbol{h}^{-1}( ) with respect to the belt) between his father and mother located ( 50 mathrm{m} ) apart on the moving belt. The belt moves with a speed of ( 4 mathrm{km} h^{-1} ). For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is ( A cdot 4 mathrm{km} h-1 ) B. 5 km ( h-1 ) c. ( 9 mathrm{km} h-1 ) D. 13 km ( h-1 ) | 11 |

618 | Two bodies are thrown vertically upward, with the same initial velocity of ( 98 m / s ) but 4 sec apart. How long after the first one is thrown when they meet? A ( .10 mathrm{sec} ) B. 11 sec c. 12 sec D. 13 sec | 11 |

619 | A toy car with charge ( q ) moves on a frictionless horizontal plane surface under the influence of a uniform electric field ( vec{E} ). Due to the force ( boldsymbol{q} overrightarrow{boldsymbol{E}} ), its velocity increases from 0 to 6 m/s in one second duration. At that instant the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively A ( .2 mathrm{m} / mathrm{s}, 4 mathrm{m} / mathrm{s} ) B. ( 1 mathrm{m} / mathrm{s}, 3.5 mathrm{m} / mathrm{s} ) c. ( 1 mathrm{m} / mathrm{s}, 3 mathrm{m} / mathrm{s} ) D. ( 1.5 mathrm{m} / mathrm{s}, 3 mathrm{m} / mathrm{s} ) | 11 |

620 | A particle of mass ( m ) is moving a uniform velocity ( v_{1} . ) It is given an impulse such that its velocity becomes ( boldsymbol{v}_{2} . ) The impulse is equal to A ( cdot mleft[left|v_{2}right|-left|v_{1}right|right] ) B . ( 1 / 2 mleft[v_{1}^{2}-v_{1}^{2}right] ) ( mathbf{c} cdot mleft[v_{1}+v_{2}right] ) D. ( mleft[v_{2}-v_{1}right] ) | 11 |

621 | Two stones are dropped from the top of a tower at half a second apart. The time after dropping the first stone at which the distance between the two stones is ( 20 mathrm{m} ) is ( left(g=10 m s^{-2}right) ) A ( .4 mathrm{s} ) B. 3.75 s c. 4.25 s D. 0.53 s | 11 |

622 | A particle is projected vertically upwards from a point ( A ) on the ground. It ( operatorname{takes} t_{1} ) time to reach a point ( B ) but it still continues to move up. If it takes further ( t_{2} ) time to reach the ground from point B then height of point B from the ground is A ( cdot frac{1}{2} gleft(t_{1}+t_{2}right)^{2} ) B. ( g t_{1} t_{2} ) c. ( frac{1}{8} gleft(t_{1}+t_{2}right)^{2} ) D. ( frac{1}{2} g t_{1} t_{2} ) | 11 |

623 | A vehicle travels half the distance L with speed ( V_{1} ) and the other half with speed with ( mathrm{V}_{2} ) what is the average speed? | 11 |

624 | You travel on the highway at a rate of ( 60 m p h ) for 1 hour and at ( 50 m p h ) for 2 hours and 40 mph for 3 hours. What is your average speed during the trip? A ( .48 m p h ) в. 47 три c. ( 46 m p h ) D. ( 45 mathrm{mph} ) | 11 |

625 | • lavellcua luta ustun e At t=0, an arrow is fired vertically upwards with a speed of 100 ms. A second arrow is fired vertically upwards with the same speed at t = 5 s. Then a. The two arrows will be at the same height above the ground at t = 12.5 s. b. The two arrows will reach back their starting points at t = 20 s and at t = 25 s. c. The ratio of the speeds of the first and second arrows at t = 20 s will be 2:1. d. The maximum height attained by either arrow will be 1000 m. | 11 |

626 | A stone falls freely under gravity. It covers distances ( h_{1}, h_{2} ) and ( h_{3} ) in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between ( h_{1}, h_{2} ) and ( h_{3} ) is A ( cdot h_{1}=2 h_{2}=3 h_{3} ) B. ( h_{1}=frac{h_{2}}{3}=frac{h_{3}}{5} ) c. ( h_{2}=3 h_{1} ) and ( h_{3}=3 h_{2} ) D. ( h_{1}=h_{2}=h_{3} ) | 11 |

627 | 6. An express train is moving with a velocity V. Its driver finds another train is moving on the same track in the same direction with velocity v. To escape collision, driver applies a retardation a on the train. The minimum time of escaping collision will be 12 – v (a) t=” (b) t = а (c) None (d) Both | 11 |

628 | A bullet moving at ( 20 m / ) sec. It strikes a wooden plank and penetrates ( 4 mathrm{cm} ) before coming to stop. The time taken to stop is: A. 0.004 sec в. 0.016 sec c. 0.008 sec D. 0.002 sec | 11 |

629 | 1000 11. 5. Two bodies of masses m, and my are dropped from heights h, and h, respectively. They reach the ground after time t, and t, and strike the ground with v, and v2, respectively, Choose the correct relations from the following. a. 1. h . im 12 m 12 Vm c. Yh d. v_ 12 m 12 m | 11 |

630 | Referring a-s diagram in the Fig., find the velocity after particle travel ( 250 mathrm{m} ) from starting. Assume ( v_{0}=0 ) | 11 |

631 | Find the acceleration of block ( A ) in terms of B. All surface are frictionless. | 11 |

632 | If the distance between earth and the sun were half of its present value, then how many number of days will be there in at year? | 11 |

633 | A stone is dropped from the top of a tall cliff and ( n ) seconds later another stone is thrown vertically downwards with velocity u. Then the second stone overtakes the first, below the top of the cliff at a distance given by: [Assume u sufficiently enough to overtake the first stone] ( A ) ( left(frac{g}{2}right)left[n frac{left(frac{g n}{2}-uright)}{g n-u}right]^{2} ) B. ( left(frac{g}{2}right)left[n frac{left(g n-frac{u}{2}right)}{g n-u}right]^{2} ) c. ( (g)left[frac{(g n-u)}{g n-(u / 2)}right]^{2} ) D. ( left(frac{g}{5}right)left[frac{(g n-u)}{g n-(u / 2)}right]^{2} ) | 11 |

634 | In the given figure, the acceleration of block A with respect to ground is (Neglect friction) ( A cdot underline{g} ) 3 в. ( frac{g}{3} sqrt{10} ) c. ( frac{2 g}{3} ) ( D ) | 11 |

635 | What will be the velocity at ( t=5.00 ) s? | 11 |

636 | A ball is thrown vertically upwards. After some time, it returns to the thrower Draw the velocity-time graph and speed-time graph. | 11 |

637 | O VILIVUHUL VOTO 7. The distance travelled by a particle in a straight line motion is directly proportional to t1/2, where t is the time elapsed. What is the nature of motion? a. Increasing acceleration b. Decreasing acceleration c. Increasing retardation d. Decreasing retardation 8 The nosition of particle varies with time as | 11 |

638 | A car of mass ( 1800 mathrm{kg} ) moving with a speed of ( 10 m / s ) is brought to rest after a Covering a distance of 50 m. Calculate the force acting on the car. в. ( 900 N ) ( c .3600 N ) D. ( 1600 N ) | 11 |

639 | Identıty In wnıch or the rollowıng grapns does the moving object reverse its direction? ( A ) B. ( c ) D. E . | 11 |

640 | The driver of an express train travelling at a speed of ( v_{1} ) sees on the same track at distance ( d ) in front of him a goods train travelling in the same direction at a speed ( v_{2} ) such that ( v_{1}>v_{2} ) Immediately he applies brakes to his express train producing retardation ( a ) to avoid collision. Then ( ^{mathbf{A}} cdot_{a}<frac{v_{1}^{2}-v_{2}^{2}}{2 d} ) В. ( _{a} frac{left(v_{1}-v_{2}right)^{2}}{2 d} ) D. ( _{a>} frac{v_{1}^{2}-v_{2}^{2}}{2 d} ) | 11 |

641 | A particle is thrown upwards from the ground. It experiences a constant resistance force which can produce retardation ( 2 frac{m}{s^{2}} . ) The ratio of time of ascent to the time of descent is? ( [boldsymbol{g}= ) ( left.mathbf{1 0 m} / boldsymbol{s}^{mathbf{2}}right] ) A . 1: B. ( sqrt{frac{2}{3}} ) ( c cdot frac{2}{3} ) D. ( sqrt{frac{3}{2}} ) | 11 |

642 | 150 metre long train takes 10 seconds to pass a man who is going in the same direction at the speed of ( 2 mathrm{km} / mathrm{hr} ). What is the speed of the train? ( mathbf{A} cdot 52 mathrm{km} / mathrm{hr} ) B. ( 56 mathrm{km} / mathrm{hr} ) ( mathbf{c} .84 mathrm{km} / mathrm{hr} ) D. Data inadequate | 11 |

643 | A ball has the dimensions ( 10 m times ) ( 12 m times 14 m . A ) fly starting at one corner ends up of a diametrically opposite corner. What is the magnitude of its displacement. A . ( 17 mathrm{m} ) B. 26 m c. ( 36 mathrm{m} ) D. 21 | 11 |

644 | A body starts from rest with uniform acceleration. If its velocity after ( n ) second is ( v, ) then its displacement in last two seconds is: A ( cdot frac{2 v(n+1)}{n} ) B. ( frac{v(n+1)}{n} ) c. ( frac{v(n-1)}{n} ) D. ( frac{2 v(n-1)}{n} ) | 11 |

645 | A merry-go-round is moving with a constant speed of ( 12 m s^{-1}, ) The girl sitting on it is A. At rest B. Moving with uniform velocity c. In accelerated motion D. Moving with no acceleration | 11 |

646 | A body dropped freely has covered half of the total distance in the last second. The total journey time is A. ( (2+sqrt{2}) s ) B. ( (2-sqrt{2}) s ) c. ( 2 s ) D. ( (2+sqrt{3}) s ) | 11 |

647 | A body is thrown up with velocity ( u ) to reach a height ( h ). When the velocity is half the initial velocity, its height from the point of projection is: A ( cdot frac{h}{2} ) B. ( frac{h}{4} ) ( c cdot frac{3 h}{4} ) ( D ) | 11 |

648 | If the velocity of a particle is ( left(10+2 r^{2}right) ) ( mathrm{m} / mathrm{s} ) then the average acceleration of the particle between 2 s and 5 s is A ( cdot 2 m / s^{2} ) B . ( 4 m / s^{2} ) c. ( 12 m / s^{2} ) D. ( 14 m / s^{2} ) | 11 |

649 | A ball is thrown up at a speed of ( 4 mathrm{m} / mathrm{s} ) with constant acceleration. Find the maximum height reached by the ball. Take ( g=10 m s^{-2} ) A. ( 0.4 mathrm{m} ) B. ( 0.8 mathrm{m} ) c. ( 1.0 mathrm{m} ) D. 1.4 ( m ) | 11 |

650 | A smooth track of incline of length ( l ) is joined smoothly with circular track of radius ( R . ) A mass of ( m ) kg is projected up from the bottom of the inclined plane. The minimum speed of the mass to reach the top of the track is given by, ( boldsymbol{v}= ) ( mathbf{A} cdot[2 g(l cos theta+R)(1+cos theta)]^{1 / 2} ) B – ( (2 g l sin theta+R)^{1 / 2} ) ( mathbf{c} cdot[2 g{l sin theta+R(1-cos theta)}]^{1 / 2} ) D. ( (2 g l cos theta+R)^{1 / 2} ) | 11 |

651 | Observe the given situation and answer the following questions. Rahul and Ravi are playing in a ground. They start running from the same point ( x ) simultaneously in the ground and reach point ( Y ) at the same time by following paths marked 1 and 2 respectively, as shown in the figure. Which of the following path does show the displacement? | 11 |

652 | Velocity-time graph of a particle moving in a straight line is as shown in figure. Mass of the particle is ( 2 k g . ) Work done by all the forces acting on the particle in time interval between ( t=0 ) to ( t=10 ) is A. ( 300 J ) в. ( -300 J ) ( c .400 ) D. ( -400 J ) | 11 |

653 | State whether given statement is True or False. The displacement of a moving object in a given interval of time is zero. Then, the distance travelled by the object will | 11 |

654 | The motion of train and car belongs to: A. Translatory motion B. Rotary motion c. To & Fro motion D. spin motion | 11 |

655 | For a body in circular motion with a constant angular velocity, the magnitude of the average acceleration over a period of half a revolution is….. times the magnitude of its instantaneous acceleration A ( cdot frac{2}{pi} ) в. ( frac{pi}{2} ) c. ( pi ) D. | 11 |

656 | An ant is at a corner of a cubical room of side a. The ant can move with a constant speed u. The minimum time taken to reach the farthest corner of the cube is? A ( cdot frac{3 a}{u} ) B. ( frac{sqrt{3} a}{u} ) c. ( frac{sqrt{5} a}{u} ) D. ( frac{(sqrt{2}+1) a}{u} ) | 11 |

657 | Q Type your question. negligible resistance (Fig 3.126). The rails are connected to each other at the bottom by a resistanceless rail paralle to the wire so that the wire and the rails form a closed rectangular conducting loop. The plane of the rails makes an angle ( theta ) with the horizontal and a uniform vertical magnetic field of induction B exist throughout the region. Find the steady-state velocity of the wire. A. ( m g=sin theta ) B. ( frac{m g}{R} frac{sin ^{2} theta}{B^{2} l^{2} cos ^{2} theta} ) c. ( frac{m g R sin theta}{B^{2} l^{2} cos ^{2} theta} ) D. ( operatorname{mgr} frac{sin ^{2} theta}{B^{2} / 2 cos theta} ) | 11 |

658 | A block of mass ( mathrm{m} ) is suspended by a light thread from an elevator.The elevator is accelerating upward with uniform acceleration a. The work done by tension on the block during t seconds is ( (1=0) ) A ( cdot frac{m}{2}(g+a) a t^{2} ) B ( cdot frac{m}{2}(g-a) a t^{2} ) c. ( frac{m}{2} g a t^{2} ) D. | 11 |

659 | A boy walks on a straight road from his home to a market ( 2.5 mathrm{km} ) with a speed of ( 5 mathrm{km} h^{-1} ). Finding the market closed he instantly turns and walks back with a speed of ( 7.5 mathrm{km} h^{-1} . ) What is the average speed and average velocity of the boy between ( t=0 ) to ( t=50 ) min? ( A cdot 0,0 ) B. ( 6 mathrm{km} h^{-1} ), o ( c cdot 0,6 mathrm{km} h^{-1} ) ( mathbf{D} cdot 6 mathrm{km} h^{-1}, 6 mathrm{km} h^{-1} ) | 11 |

660 | What do you mean by motion? Explain different type of motion. | 11 |

661 | A ball is dropped from an elevator moving upward with acceleration ( ^{prime} a^{prime} ) by a boy standing in it. The acceleration of ball with respect to [Take upward direction positive ( ] ) A. Boy is ( -g ) B. Boy is ( -(g+a) ) c. Ground is ( -g ) D. Both (2) & (3) | 11 |

662 | . MITUD PULLOVA 9. A particle starts moving rectilinearly at timet=0 such that its velocity v changes with time t according to the equation v=t-t, where t is in seconds and v is in ms-. The time interval for which the particle retards (i.e., magnitude of velocity decreases) is a. t< 1/2 b. 1/2<t1 d. t 1 | 11 |

663 | How long does it take for the ball to strike the ground? A . ( 4.52 s ) B . ( 5 s ) ( c cdot 6 s ) D. ( 7 s ) | 11 |

664 | Ramu and Somu are running towards north with ( 3 mathrm{m} / mathrm{s} ) and ( 4 mathrm{m} / mathrm{s} ). Their friend Srinu is running towards south with 2 ( mathrm{m} / mathrm{s} . ) Then the magnitude of relative velocity of Somu w.r.t Ramu ( A cdot 1 mathrm{m} / mathrm{s} ) B. 2 m/s ( c cdot 3 m / s ) D. ( 4 mathrm{m} / mathrm{s} ) | 11 |

665 | Two stones are thrown up simultaneously from the edge of a cliff ( 200 mathrm{m} ) high with initial speeds of ( 15 m s^{-1} ) and ( 30 m s^{-1} . ) Verify that the graph shown in Fig.correctly represents the time variation of the relative position of the second stone with respect to the first. Neglect air resistance and assume that the stones do not rebound after hitting the ground. Take ( boldsymbol{g}=10 m s^{-2} . ) Give the equations for the linear and curved parts of the plot | 11 |

666 | A particle moving on straight line whose velocity-time graph is shown in the figure. The average speed from ( t=0 ) to ( t=6 s ) is ( v=frac{15}{n} m s^{-1} . ) Find the value of ( boldsymbol{n} ) 4 B ( c ) | 11 |

667 | From a building two balls ( A ) and ( B ) are thrown such that ( A ) is thrown upwards and B downwards (both vertically). If ( v_{A} ) and ( v_{B} ) are their respective velocities on reaching the ground, then A ( cdot v_{A}>v_{B} ) В. ( v_{A}=v_{B} ) c. ( v_{A}<v_{B} ) D. Their velocities depend on their masses | 11 |

668 | The net force is zero at which point on the graph? ( A cdot A ) ( B . quad B ) ( mathrm{c} cdot mathrm{C} ) ( D, D ) ( E . ) | 11 |

669 | Shown in the figure are the velocity time graphs of the two particles ( P_{1}, ) and ( P_{2} ) Which of the following statements about their relative motion is true? Magnitude of their relative velocity: A. is zero B. is non zero constant c. continuously decreases D. continuously increases | 11 |

670 | A bus travels ( 30 mathrm{km} ) at a uniform speed of ( 40 mathrm{km} / mathrm{h} ) and the next ( 30 mathrm{km} ) at a uniform speed of ( 20 mathrm{km} / mathrm{h} ).The average speed of the bus is ( mathbf{A} cdot 26.6 mathrm{km} / mathrm{h} ) B. 36.8 km/h c. ( 25 mathrm{km} / mathrm{h} ) D. 28.9 km/h | 11 |

671 | Illustration 2.15 A particle starts with some initial velocity with an acceleration along the direction of motion. Draw a graph depicting the variation of velocity (v) along y-axis with the variation of displacement (s) along x-axis. | 11 |

672 | A helicopter is flying south with a speed of ( 50 k m h^{-1} . A ) train is moving at the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be towards A. North east B. South east c. North west D. south west | 11 |

673 | A particle moves in a straight line with constant acceleration a. The displacements of particle from origin in times ( t_{1}, t_{2} ) and ( t_{3} ) are ( s_{1}, s_{2} ) and ( s_{3} ) respectively. If time are in AP with common difference d and displacements are in GP, then prove that ( a=frac{(sqrt{s_{1}-sqrt{s_{3}}})^{2}}{d^{2}} ) | 11 |

674 | A ball is dropped from the roof of a tower of height h. The total distance covered it in the last seconds of its motion is equal to the distance covered by it in first three seconds. The value of h in meters is ( left(boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right) ) A . 125 B. 200 ( c cdot 100 ) ( D cdot 80 ) | 11 |

675 | If a coin is tossed by a boy in a moving train and it falls behind him, then the motion of the train is A. Uniform B. Accelerated C. Retarded D. Along a circular track | 11 |

676 | If two particles of masses ( 3 k g ) and ( 6 k g ) which are at rest are separated by a distance of 15 m. The two particles are moving towards each other under a mutual force of attraction. Then the ratio of distances travelled by the particles before collision is A .2: 1 B. 1: 2 c. 1: 3 D. 3: 1 | 11 |

677 | A man moves in ( x-y ) plane along the path along the path shown. At what point is his average velocity vector in the same direction as his instantaneous velocity vector. The man starts from point ( boldsymbol{P} ) ( A cdot A ) в. ( B ) ( c . C ) D. ( D ) | 11 |

678 | A balloon is rising vertically with a velocity of ( 9.8 m / s . ) A packet is dropped from it when it is at a height of ( 39.2 mathrm{m} ) Time taken by the packet to reach the ground is (Given ( boldsymbol{g}=mathbf{9 . 8 m} / boldsymbol{s}^{2} ) ) A . ( 1 s ) B . ( 2 s ) ( c cdot 3 s ) D. ( 4 s ) | 11 |

679 | Three ships ( A . B & C ) are in motion. Ship A moves relative to B is with speed ( mathbf{v} ) towards North east Ship B moves relative to ( C ) with speed ( v ) towards the North-West. Then relative to A. C will be moving towards:- A. North B. South c. East D. west | 11 |

680 | 3. A particle experiences a constant acceleration for 20 sec after starting from rest. If it travels a distance S, in the first 10 sec and a distance S, in the next 10 sec, then (a) S = S2 (b) S = S2/3 (c) S = S/2 (d) Si = S2/4 | 11 |

681 | How long will it be before the ball hits the ground? Take ( g=10 m s^{-2} ) | 11 |

682 | An object moves with constant acceleration a. Which of the following expressions are also constant? A ( cdot frac{d v mid}{d t} ) в. ( mid frac{d v}{d t} ) c. ( frac{dleft(v^{2}right)}{d t} ) D. ( frac{dleft(frac{v}{|v|}right)}{d t} ) | 11 |

683 | 14. A woman starts from her home at 9.00 a.m., walks with a speed of 5 kmh on straight road up to her office 2.5 km away, stays at the office up to 5.00 p.m., and returns home by an auto with a speed of 25 kmh. Plot the position-time graph of the woman taking her home as origin. | 11 |

684 | A ball is dropped from the top of a building. The ball takes 0.5 s to fall past the window ( 3 mathrm{m} ) in length at certain distance from the top of the building. ( boldsymbol{g}=mathbf{1 0} boldsymbol{m} boldsymbol{s}^{-2} mathbf{)} ) Speed of the ball as it crosses the top edge of the window is A. ( 3.5 mathrm{ms}^{-1} ) B. ( 8.5 mathrm{ms}^{-1} ) c. ( 5 m s^{-1} ) D. ( 12 mathrm{ms}^{-1} ) | 11 |

685 | The figure given shows the displacement-time curve of two particles ( P ) and ( Q . ) Which of the following statements is correct? A. Both ( P ) and ( Q ) move with uniform equal speed B. ( P ) is accelerated ( Q ) is retarded C. Both P and Q move with uniform speeds but the speed of ( P ) is more than the speed of ( Q ) D. Both P and Q move with uniform speeds but the speed of ( Q ) is more than the speed of ( P ) | 11 |

686 | 20. A passenger reaches the platform and finds that the second least boggy of the train is passing him. The second last boggy takes 3 s to pass the passenger, and the last boggy takes 2 s to pass him. Find the time by which the passenger late for the departure of the train? Assume that the train accelerates at constant rate and all the boggies are of equal length. | 11 |

687 | What information about the motion of a body can be obtained from its displacement-time graph? A. Velocity of the body B. Acceleration of the body c. Force on the body D. Retardation of the body | 11 |

688 | Average velocities for time intervals ( t= ) 0 to ( 2 s, t=2 ) to 4 s and ( t=0 ) to 4 s are respectively equal to A ( .2 .5 mathrm{m} / mathrm{s},-2.5 mathrm{m} / mathrm{s}, 2.5 mathrm{m} / mathrm{s} ) B. ( 1.25 mathrm{m} / mathrm{s},-1.25 mathrm{m} / mathrm{s}, 0 mathrm{m} / mathrm{s} ) ( c cdot 5 m / s,-5 m / s, 0 m / s ) D. ( 2.5 mathrm{m} / mathrm{s},-2.5 mathrm{m} / mathrm{s}, 0 mathrm{m} / mathrm{s} ) | 11 |

689 | Choose the incorrect statement: A. the speedometer of a car measures its instantaneous speed B. the velocity of a body is always greater than the speed of that body. C. the position-time graph of a body moving with variable velocity is a curve. D. velocity-time graph of a uniform motion is a straight line parallel to time-axis. | 11 |

690 | A body goes to ( 10 mathrm{km} ) north and ( 20 mathrm{km} ) east. The displacement from initia point is A ( .22 .36 mathrm{km} ) B. ( 2 mathrm{km} ) ( mathbf{c} .5 mathrm{km} ) D. ( 20 mathrm{km} ) | 11 |

691 | Rewrite the following equation in terms of ( boldsymbol{a} ) ( s=u t+frac{1}{2} a t^{2} ) | 11 |

692 | The velocity of a body moving with a uniform acceleration of ( 2 m / sec ^{2} ) is 10 ( m / ) sec. Its velocity after an interval of ( 4 sec ) is ( A cdot 12 mathrm{m} / mathrm{sec} ) B. ( 14 mathrm{m} / mathrm{sec} ) c. ( 16 mathrm{m} / mathrm{sec} ) D. 18 m/sec | 11 |

693 | 8. The time after which two bodies meet will be a. 2s b . 4. c. 65 d. 85 | 11 |

694 | State whether true or false. Two balls are dropped from heights ( h_{1} ) and ( h_{2} ) respectively. The ratio of their velocities on reaching the ground is equal to ( sqrt{boldsymbol{h}_{1}}: sqrt{boldsymbol{h}_{2}} ) A. True B. False | 11 |

695 | A body is projected with some initial velocity ( u ) at angle ( frac{pi}{7} ) with the horizontal. At what angle should another body be thrown so that the horizontal range in both cases is the same? A. ( frac{pi}{2} ) в. ( frac{5 pi}{14} ) c. ( frac{4 pi}{7} ) D. ( frac{6 pi}{7} ) | 11 |

696 | A particle of mass m is under the influence of a force ( mathrm{F} ) which varies with the displacement ( x ) according to the relation ( F=-k x+F_{0} ) in which ( k ) and ( F_{0} ) are constants.The particle when disturbed will oscillate A. about ( x=0, ) with ( omega neq sqrt{k / m} ) B. about ( x=0, ) with ( omega=sqrt{k / m} ) C . about ( x=F_{0} / k, ) with ( omega=sqrt{k / m} ) D. about ( x=F_{0} / k, ) with ( omega neq sqrt{k / m} ) | 11 |

697 | The speed of boat is ( 5 mathrm{Km} / mathrm{h} ) in still water. It crosses a river of width ( 1 mathrm{Km} ) along shortest possible path in 15 min. The velocity of river water is ( A cdot 1 K m / h ) в. 3 Кт/А ( c .4 mathrm{km} / mathrm{h} ) D. ( 5 mathrm{Km} / mathrm{h} ) | 11 |

698 | 157 (sec). Find the displacement of the buckel. 28. At the same instant, ball A is dropped from top building of height h and ball B is projected vertically upward from the ground with velocity u. The ratio of velocity of A to the velocity of B at the point of contoh is same as the ratio of height of this point from top of the building to the height from the ground, find the height of the point of collision above the ground. | 11 |

699 | Source and observer start moving simultaneously along ( x ) and ( y ) -axis respectively. The speed of source is twice the speed of observer, ( V_{0} . ) If the ratio of observed frequency to frequency of the source is ( 0.75, ) find the velocity of sound A ( cdot frac{11}{sqrt{5}} v_{0} ) B. ( frac{17}{sqrt{5}} v_{0} ) c. ( frac{16}{sqrt{5}} v_{0} ) D. ( frac{19}{sqrt{5}} v_{0} ) | 11 |

700 | A ( 100 c m ) long thin tube (sealed at both ends) lies horizontally, in the middle ( 0.1 m ) containing mercury and the two ends containing air at standard atmospheric pressure. If the tube is turned to a vertical position, by what amount will the mercury be displaced? | 11 |

701 | The acceleration – time graph for a particle in rectilinear motion is as shown in the figure. Find the average acceleration in first twenty seconds. ( A cdot 10 m s^{-2} ) B. ( 15 mathrm{ms}^{-2} ) ( mathrm{c} cdot 20 mathrm{ms}^{-2} ) D. ( 25 mathrm{ms}^{-2} ) | 11 |

702 | U. T V W 5. Figure A.3 shows the velocity-displacement VA curve for an object moving along a straight line. At which of the points marked is the object speeding up? Fig. A.3 a. 1 b. 2 c. 1 and 3 d. 1, 2, and 3 | 11 |

703 | When a body is projected vertically up from the ground its velocity is reduced to ( frac{1}{4} ) th of its velocity at ground at height h. Then the maximum height reached by the body is A ( cdot frac{15}{32} h ) в. ( frac{15}{16} h ) c. ( frac{15}{8} h ) D. ( frac{5}{4} h ) | 11 |

704 | An aircraft is flying at a height of ( 2800 m ) above the ground. The angle subtended by it in ( 10 s ) is ( 30^{circ} . ) Find the speed of the aircraft. A ( cdot 150 m s^{-1} ) B. ( 100 mathrm{ms}^{-1} ) ( mathrm{c} cdot 140 mathrm{ms}^{-1} ) D. ( 125 mathrm{ms}^{-1} ) | 11 |

705 | A body is thrown up with an initial velocity u and it covers a maximum height of ( h, ) then h is equal to ( ^{mathrm{A}} cdot frac{u^{2}}{2 g} ) в. ( frac{u}{2 g_{g}} ) c. ( 2 u g ) D. None of these | 11 |

706 | A person climbs up a stalled escalator in ( 60 s . ) If standing on the same but escalator running with constant velocity he takes 40 s. How much time is takne by the person to walk up the moving escalator? ( mathbf{A} cdot 37 s ) в. ( 27 s ) c. ( 24 s ) D. ( 45 s ) | 11 |

707 | Two cars ( A ) and ( B ) are running at velocities of ( 60 mathrm{km} h^{-1} ) and ( 45 mathrm{km} h^{-1} ) What is the relative velocity of car ( A ) with respect to car ( mathrm{B} ), if both are moving eastward? A ( cdot 15 mathrm{km} h^{-1} ) B. ( 45 mathrm{km} h^{-1} ) ( c cdot 60 mathrm{km} h^{-1} ) D. ( 105 mathrm{km} h^{-1} ) | 11 |

708 | A particle is moving in ( x ) -y plane. At time ( t=0, ) particle is at ( (1 mathrm{m}, 2 mathrm{m}) ) and has velocity ( (4 hat{i}+6 hat{j}) mathrm{m} / mathrm{s}, ) At ( t=4 mathrm{s} ) particle reaches at ( (6 mathrm{m}, 4 mathrm{m}) ) and has velocity ( (2 hat{i}+10 hat{j}) mathrm{m} / mathrm{s} ). In the given time interval, find. (a) average velocity, (b) average acceleration and (c) from the given data, can you find average speed? | 11 |

709 | A cart begins from rest at the top of a long incline and rolls with a constant acceleration of ( 2 m / s^{2} . ) How far has the cart moved along the incline after rolling for 3 seconds? A. 3 meters B. 6 meters c. 9 meters D. 18 meters | 11 |

710 | State whether true or false. A boy on a swing exhibits both oscillatory motion and periodic motion A. True B. False | 11 |

711 | 10. A particle of mass m moves along a curve y = x. When particle has x-co-ordinate as 1/2 m and x-component of velocity as 4 m/s, then (a) the position coordinate of particle are (1/2, 1/4)m (b) the velocity of particle will be along the line 4x – 4y – 1 = 0. (c) the magnitude of velocity at that instant is 472 m/s (d) the magnitude of velocity at that instant is 2v2 m/s | 11 |

712 | 7. Total distance travelled by the car is aßt2 aß, b. 4a+B) 2(a + b) 2aßt2 C. d. 4aße (a+ß) (a + B) | 11 |

713 | A train is running at ( 5 mathrm{m} / mathrm{s} ) and a man jumps out of it with a velocity ( 10 mathrm{m} / mathrm{s} ) in a direction making an angle of ( 60^{circ} ) with the direction of the train. The velocity of the man relative to the ground is equal to A. ( 12.24 mathrm{m} / mathrm{s} ) B. ( 11.25 mathrm{m} / mathrm{s} ) c. ( 14.23 mathrm{m} / mathrm{s} ) D. ( 13.23 mathrm{m} / mathrm{s} ) | 11 |

714 | A freely falling body has a velocity after falling through a distance h. The distance it has to fall down further for its velocity to become 2 V is : ( A cdot 3 h ) B. 2h ( c cdot h ) D. ( 4 h ) | 11 |

715 | b b. aß 6. The maximum velocity attained by the car is aß 2(a+B) a+B 2aß x+B a+B 4aß | 11 |

716 | The resistive force suffered by a motor boat is ( propto V^{2} . ) When the engine was shutdown, the velocity is ( V_{0} . ) Find the average velocity at any time ( t ) A ( cdot V_{a V}=frac{V_{0}+V}{2} ) B. ( frac{V V_{0}}{2left(V_{0}+Vright)} ) ( c ) ( frac{2 V V_{0} log _{e} frac{V_{0}}{V}}{left(V_{0}+Vright)} ) | 11 |

717 | A stone dropped from the top of a tower travels ( 4.9 mathrm{m} ) in the last second, then the velocity of the stone on reaching the ground is A ( cdot 19.6 m^{-1} ) в. ( 9.8 m s^{-1} ) ( mathrm{c} cdot 4.9 mathrm{ms}^{-1} ) D. ( 29.4 m s^{-1} ) | 11 |

718 | Car ( A ) and car ( B ) start moving simultaneously in the same direction along the line joining them. Car ( A ) with a constant acceleration ( boldsymbol{a}=mathbf{4} boldsymbol{m} / boldsymbol{s}^{2} ) while car ( B ) moves with a constant velocity ( boldsymbol{v}=mathbf{1} boldsymbol{m} / boldsymbol{s} . ) At time ( boldsymbol{t}=mathbf{0}, ) car ( boldsymbol{A} ) is ( 10 m ) behind car ( B ). Find the time when car ( A ) overtakes car ( B ) | 11 |

719 | A point moves rectilinearly in one direction. Above figure shows the distance ( s ) traversed by the point as a function of the time ( t . ) Using the plot, find the maximum velocity. A. ( 1.5 mathrm{m} / mathrm{s} ) B. ( 2.5 mathrm{m} / mathrm{s} ) ( mathbf{c} cdot 2 m / s ) D. ( 5 mathrm{m} / mathrm{s} ) | 11 |

720 | A pilot takes off from an airport at ( 15^{circ} mathrm{S} ) latitude and flies ( 55^{circ} ) due North. What latitude the pilot has reached? ( A cdot 55^{circ} mathrm{N} ) B . ( 40^{circ} ) N ( c cdot 70^{circ} ) D. ( 15^{circ} mathrm{N} ) | 11 |

721 | A man of mass ( 30 mathrm{kg} ) uses a rope to climb which bears only 450 N.The maximum acceleration with which he can climb safely,……. A ( cdot 10 m / s e c^{2} ) B ( cdot 15 mathrm{m} / mathrm{sec}^{2} ) ( mathrm{c} cdot 20 mathrm{m} / mathrm{sec}^{2} ) D. ( 25 mathrm{m} / mathrm{sec}^{2} ) | 11 |

722 | A spy report about a suspected car reads as follows. “The car moved ( 2.00 k m ) towards east, made a perpendicular left turn, ran for ( 500 m ) made a perpendicular right turn, ran for ( 4.00 mathrm{km} ) and stopped”. Find the displacement of the car. | 11 |

723 | The position of a particle varies according to expression ( boldsymbol{x}= ) ( boldsymbol{t}(boldsymbol{t}-mathbf{1})(boldsymbol{t}-mathbf{2}), ) velocity of the particle is zero at times. A ( cdotleft(1-frac{1}{sqrt{3}}right), 0 ) в. ( left(1+frac{1}{sqrt{3}}right) ) ( c cdot 0,1 ) D ( cdotleft(1-frac{1}{sqrt{3}}right),left(1+frac{1}{sqrt{3}}right) ) | 11 |

724 | A ball thrown in the air reaches a height of ( 10 mathrm{m} ) and drops down to the ground. Find the time taken by the ball to complete this entire journey. A . ( 2.78 mathrm{sec} ) B. 3.40 sec c. 1.43 sec D. 2.86 sec | 11 |

725 | Three elephants ( A, B ) and ( C ) are moving along a straight line with constant speed in same direction as shown in figure. Speed of ( A ) is ( 5 mathrm{m} / mathrm{s} ) and speed of ( mathrm{C} ) is ( 10 mathrm{m} / mathrm{s} ). Initially separation between A and B is d and between B and C is also d. When ‘B catches ‘C’ separation between ( A ) and ( C ) becomes ( 3 d ). Then the speed of B will be: ( A cdot 15 mathrm{m} / mathrm{s} ) B. ( 7.5 mathrm{m} / mathrm{s} ) ( c cdot 20 m / s ) D. ( 5 mathrm{m} / mathrm{s} ) | 11 |

726 | The velocity of particle P due east is ( 4 m / s ) and that of ( Q ) is ( 3 m / s ) due north. What is the velocity of P w.r.t Q | 11 |

727 | (u) TUUI 14. For a particle moving in straight line with in e moving in straight line with increasing speed the appropriate sign of acceleration a and velocity v can be: (a) a > 0 and v> 0 (b) a< 0 and v. 0 and y < 0 (d) a 0 | 11 |

728 | A particle of mass ( 2 m ) is connected by an inextensible string of length ( 1.2 m ) to a ring of mass ( m ) which is free to slide on a horizontal smooth rod. Initially the ring and the particle are at the same level with the string, taut. Both are then released simultaneously. What is the distance in meters moved by the ring when the string becomes vertical? | 11 |

729 | On an open ground, a motorist follows a track that turns to his left by an angle of ( 60^{circ} ) after every ( 500 m . ) Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case. | 11 |

730 | The position ( x ) of a particle varies with time ( t ) a ( a t^{2}-b t^{3} . ) The acceleration of particle will be zero at time ( t ) is equal to A ( cdot frac{a}{b} ) в. ( frac{2 a}{3 b} ) c. ( frac{a}{3 b} ) D. zero | 11 |

731 | If a body starts from rest and moves with uniform acceleration, then the displacement of the body is directly proportional to the cube of the time. A . True B. False | 11 |

732 | A stone dropped from the roof of a building takes 4 s to reach the ground. The height of the building is. ( A cdot 9.8 m ) B. 19.6m c. ( 39.2 mathrm{m} ) D. 78.4m | 11 |

733 | A man can swim with a speed of 4 ( k m h^{-1} ) in still water. He crosses a river 1 ( mathrm{km} ) wide that flows steadily at ( 3 mathrm{kmh}^{-1} ) If he makes his strokes normal to the river current, how far down the river does he go when he reaches the other bank? A. ( 500 mathrm{m} ) B. 600 ( m ) c. 750 ( m ) D. 850 ( mathrm{m} ) | 11 |

734 | The coordinates of a particle moving in x-y plane at any instant of time t are ( x=4 t^{2} ; y=3 t^{2} . ) The speed of the particle at that instant is : A . 10 B. 5t ( c cdot 3 t ) D. ( 2 t ) E . ( sqrt{13} t ) | 11 |

735 | The ( 10 mathrm{kg} ) block is moving to the left with a speed of ( 1.2 m / s ) at time ( t=0 . A ) force ( F ) is applied as shown in the graph. After 0.2 s the force continues at the 10 ( N ) level. If the coefficient of kinetic friction is ( mu_{k}=0.2 . ) Determine the time ( t ) at which the block comes to a stop. ( (g= ) ( mathbf{1} mathbf{0} boldsymbol{m} / boldsymbol{s}^{mathbf{2}} mathbf{)} ) A . ( 0.333 s ) B. ( 0.526 s ) c. ( 0.165 s ) D. None of the above | 11 |

736 | 6 T0 CM3 C. 1 CUSU. 20 CM 29. A body starts from rest and travels a distance S with uniform acceleration, then moves uniformly a distance w uniformly, and finally comes to rest after moving further 5S under uniform retardation. The ratio of the average velocity to maximum velocity is a. 2/5 b. 3/5 c. 4/7 d. 517 | 11 |

737 | m/s strikes a hard wall at an angle of ( 30^{circ} ) with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 seconds, the average force acting on the wall is? A . ( 48 mathrm{N} ) B. 25N c. ( 12 mathrm{N} ) D. 96N | 11 |

738 | An ant moves along the sides of a square room of length 4 m starting from ( A ) and reaches the opposite corner C by travelling from ( A ) to ( B ) and from ( B ) to C. If the time taken is 2 s, the average velocity of the particle is : ( mathbf{A} cdot 4 m s^{-1} ) В. ( 2 sqrt{2} mathrm{ms}^{-1} ) ( mathbf{c} cdot 2 m s^{-1} ) D. ( 4 sqrt{2} mathrm{ms}^{-1} ) | 11 |

739 | A stone projected vertically up from the ground reaches a height ( y ) in its path at ( t_{1} ) seconds and after further ( t_{2} ) seconds reaches the ground. The height ( y ) is equal to A ( cdot frac{1}{2} gleft(t_{1}+t_{2}right) ) B ( cdot frac{1}{2} gleft(t_{1}+t_{2}right)^{2} ) ( mathbf{c} cdot frac{1}{2} g t_{1} t_{2} ) D. ( g t_{1} t_{2} ) | 11 |

740 | The driver of a train moving with a constant speed ( v_{1} ) along a straight track sights another train at a distance d ahead of him on the same track moving in the same direction with a constant speed ( v_{2} . ) He at once applies the brakes and gives his train a constant retardation ( mathrm{f} ). There will be a collision of the trains if: A ( cdot v_{1}>v_{2} ) and ( frac{left(v_{1}-v_{2}right)^{2}}{2 f}<d ) в. ( _{v_{1}}d ) c. ( _{v_{1}>v_{2} text { and }} frac{left(v_{1}-v_{2}right)^{2}}{2 f}>d ) D ( v_{1}>v_{2} ) and ( frac{left(v_{1}^{2}-v_{2}^{2}right)}{2 f}>d ) | 11 |

741 | A stone is released from the top of tower. it covers ( 24.5 mathrm{m} ) distance in the last second of its journey.what is the height of tower? | 11 |

742 | A particle is projected vertically upwards with velocity ( 80 mathrm{m} / mathrm{s} ). Then the (Take ( left.boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2}right) ) A. Displacement and distance travelled by the particle in ( 2 sec ) in ( 160 mathrm{m} ) B. Displacement and distance travelled by the particle in ( 4 sec ) in ( 240 mathrm{m} ) C. Displacement and distance travelled by the particle in ( 6 sec ) in ( 300 mathrm{m} ) and ( 100 mathrm{m} ) D. Displacement and distance travelled by the particle in ( 8 sec ) is ( 320 mathrm{m} ) and ( 10 mathrm{m} ) | 11 |

743 | A stair case contains ten step each 10 ( mathrm{cm} ) high and ( 20 mathrm{cm} ) wide.The maximum horizontal velocity with which the ball has to be rolled off the upper most step,so as to hit directly the edge of the lowest step is (approximately) ( mathbf{A} cdot 2 m s^{-1} ) B. ( 4.2 m s^{-1} ) ( mathrm{c} cdot 24 mathrm{ms}^{-1} ) D. ( 2.4 m s^{-1} ) | 11 |

744 | Two spheres ( A ) and ( B ) moving in opposite directions have velocities of ( 10 m s^{-1} ) and ( 20 m s^{-1} . ) The two spheres collide with each other elastically. If ( A ) continues to move in the same direction at ( 4 m s^{-1}, ) the velocity of sphere B just after the collision is A. ( 34 m / s ) in the same direction B. ( 34 m / s ) in the opposite direction c. ( 26 m / s ) in the same direction D. ( 34 m / s ) in the opposit direction | 11 |

745 | An object is thrown from the height of ( 125 mathrm{cm} ) take ( mathrm{g}=10 mathrm{m} / mathrm{s} ). Find the ratio of distance covered by object in the 1 st and last 1 sec A . 1: 9 B. 4: ( c cdot 4: 4 ) D. 2: | 11 |

746 | D. 110 S (d) 11 m/s distance S, then continues at constant speed n rest, accelerates at the rate f through a at constant speed for time t and then decelerates at the rate – to come to rest. If the total to come to rest. II distance traversed is 15 S, then (a) S = ? (c) S = LAP (b) s = 42 (d) s=-1? | 11 |

747 | A particle is projected upwards. The times corresponding to height ( h ) while ascending and while descending are ( t_{1} ) and ( t_{2} ) respectively. The velocity of projection will be A ( cdot g t ) B. ( g t_{2} ) c. ( g tleft(t_{1}+t_{2}right) ) D. ( frac{gleft(t_{1}+t_{2}right)}{2} ) | 11 |

748 | A pebble is thrown vertically upwards with a speed of ( 20 m s^{-1} . ) How high will it be after ( left.2 s ? text { (Take } g=10 m s^{-2}right) ) A. ( 40 mathrm{m} ) B. 10 ( mathrm{m} ) ( c cdot 20 m ) D. 25 m | 11 |

749 | If a SHM is given by ( y=(sin omega t+cos omega t ) ( mathrm{m}, ) which of the following statement is true? A. The amplitude is ( 1 mathrm{m} ) B. The amplitude is ( sqrt{2} mathrm{m} ). c. Time period is ( 2 pi / omega ) D. Time is considered from ( y=0 ) m. | 11 |

750 | ( frac{k}{k} ) | 11 |

751 | An object falls from a bridge that is ( 45 m ) above water. It falls directly into a small boat moving with constant velocity that is ( 12 ~ m ) from the point of impact when the object was released. The speed of the boat is A. ( 3 m / s ) B. ( 4 mathrm{m} / mathrm{s} ) c. ( 5 m / s ) D. ( 6 mathrm{m} / mathrm{s} ) | 11 |

752 | How is the distance related with time for the motion under uniform acceleration such as the motion of a freely falling body starting from rest? ( mathbf{A} cdot S propto t^{2} ) в. ( S propto t ) c. ( s propto frac{1}{t^{2}} ) D. ( s propto frac{1}{t} ) | 11 |

753 | A man standing on a high bridge over a creek throws a rock straight down. Just as he throws the rock he accidentally drops another rock. Neglecting air resistance, which statement best describes the situation just after the rocks reach the water? A. The acceleration of the thrown rock is greater B. The acceleration of the dropped rock is greater c. The acceleration of both rocks is same D. The average velocity of both rocks is the same E. The final velocity of both rocks is the same | 11 |

754 | A small sphere starts falling from a very large height and after falling a distance of ( 100 m ) it attains the terminal velocity and continues to fall with this velocity. The work done by the atmosphere during the first fall of ( 100 m ) is: A. Greater than the work done for next fall of 100 m B. Less than the work done for next fall of 100 m c. Equal to ( 100 mathrm{mg} ) D. Greater than ( 100 mathrm{mg} ) | 11 |

755 | A body is projected with a velocity ( u ). It passes through a certain point above the gound after ( t_{1} ) sec. The time after which the body passes through the same point during the return journey is: A ( cdotleft(frac{u}{g}-t_{1}right) ) в. ( 2left(frac{u}{g}-t_{1}right) ) c. ( _{3}left(frac{u}{g}-t_{1}right) ) D. ( _{3}left(frac{u^{2}}{g^{2}}-t_{1}right) ) | 11 |

756 | A spy plane is being tracked by a radar. At ( t=0, ) its position is reported as ( (100 m, 200 m, 1000 m) .130 s ) later, its position is reported to be ( (2500 m, 1200 m, 1000 m) . ) Find a unit vector in the direction of plane velocity and the magnitude of its average velocity. A ( cdot_{20 m s^{-1}} ; frac{22 hat{i}+5 hat{j}}{13} ) B. ( 20 m s^{-1} ; frac{12 hat{i}+5 hat{j}}{13} ) c. ( _{30 m s^{-1}} ; frac{12 hat{i}+5 hat{j}}{13} ) D. ( 20 m s^{-1} ; frac{12 hat{i}+6 hat{j}}{13} ) | 11 |

757 | Eight drops of a liquid of density ( rho ) and each radius a are falling through air with a constant velocity ( 3.75 mathrm{cm} s^{-1} ) when the eight drops coalesce to from a single drop the terminal velocity of the new drop will be A. ( 2.4 times 10^{-2} mathrm{ms}^{-1} ) В. ( 15 times 10^{-2} mathrm{ms}^{-1} ) c. ( 0.75 times 10^{-2} mathrm{ms}^{-1} ) D. ( 25 times 10^{-2} mathrm{ms}^{-1} ) | 11 |

758 | 1. For a particle moving along the x-axis, mark the correct statement(s). a. If x is positive and is increasing with the time, then average velocity of the particle is positive. b. If x is negative and becoming positive after some time, then the velocity of the particle is always positive. c. If x is negative and becoming less negative as time passes, then the average velocity of the particle is positive. d. If x is positive and is increasing with time, then the velocity of the particle is always positive. | 11 |

759 | 10. A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g = 10 m/s) (a) At least 0.8 m/s (b) Any speed less than 20 m/s (c) Only with speed 20 m/s (d) More than 20 m/s | 11 |

760 | 30. The particle has negative acceleration a. In graph (i) b. In graph (ii) c. In graph (iii) d. In graph (iv) | 11 |

761 | The distances travelled by a body falling freely from rest in the first, second and third seconds are in the ratio: A .1: 2: 3 B. 1: 3: 5 ( c cdot 1: 4: 9 ) D. None of the above | 11 |

762 | Multiple Correct Answers Type: The body will speed up if This question has multiple correct options | 11 |

763 | From the position time graph for two particles and B is shown below. Graph and particles A making angles ( 60^{circ} ) and ( 30^{circ} ) with the time axis. The ratio of velocities ( boldsymbol{v}_{A}: boldsymbol{v}_{B} ) is ( A cdot 1: 1 ) в. 4: 1 c. ( sqrt{2}: 1 ) D. 1: 3 | 11 |

764 | A stone drop from height ‘h’ reaches at earth surface in 1 sec. If the same stone is taken to moon and dropped freely from height ( h, ) then it will reach the surface of moon in ( ldots ldots ) sec A ( cdot sqrt{6} sec ) B. ( 9 s e c ) ( c .3 s e c ) D. 6 sec | 11 |

765 | For a particle moving along ( x ) -axis, acceleration is given as ( a=v ). Find the position as a function of time? Given that ( operatorname{at} t=0, x=0, v=1 ) A ( cdot e-1 ) B ( cdot e^{2}-1 ) c. ( frac{e}{2} ) D. ( e+1 ) | 11 |

766 | A body is projected vertically upwards with certain velocity. The magnitude of its displacement in the last second of its upward motion is……………………… A. ( 2 g ) в. ( frac{g}{3} ) ( c cdot frac{g}{2} ) D. ( frac{3 g}{2} ) | 11 |

767 | A constant force ( F ) acts on a particle of mass ( 1 mathrm{kg} ) moving with a velocity ( v, ) for one second. The distance moved in that time is : A . 0 в. ( frac{F}{2} ) c. ( 2 F ) D. ( frac{v}{2} ) E ( cdot v+frac{F}{2} ) | 11 |

768 | For the following graph find: Acceleration Distance | 11 |

769 | The declaration experienced by a moving motor boat, after its engine is cut-off is given by ( frac{mathrm{dv}}{mathrm{dt}}=-mathrm{kv}^{3} ) where ( mathrm{k} ) is constant If ( mathbf{v}_{mathbf{0}} ) is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time ( t ) after the cut off is ( A cdot frac{v_{0}}{2} ) B . v c. ( mathrm{v}_{0} mathrm{e}^{-mathrm{ti}} ) D. ( frac{v_{0}}{sqrt{left(2 v_{v}^{2} mathrm{kt}+1right)}} ) | 11 |

770 | A toy rocket is launched straight up. At the exact top of its flight path, which of the following is true? A. Its velocity and acceleration are zero B. Its velocity is zero and acceleration is ( 9.8 mathrm{m} / mathrm{s}^{2} ) C . It velocity is ( 9.8 mathrm{m} / mathrm{s} ) and acceleration is ( 9.8 mathrm{m} / mathrm{s}^{2} ) D. It velocity is ( 9.8 m / s ) and acceleration is zero E. It velocity is ( 9.8 mathrm{m} / mathrm{s} ) and displacement is ( 9.8 mathrm{m} ) | 11 |

771 | A ball weighing 15 g is tied to a string 10 cm long. Initially the ball is held in position such that the string is horizontal. The ball is now released. A nail ( N ) is situated vertically below the support at a distance ( L ) The minimum value of ( L ) such that the | 11 |

772 | A lift starts from the top of a mine shaft and descends with a constant speed of ( 10 m / s .4 s ) later a boy throws a stone vertically upwards from the top of the shaft with a speed of ( 30 m / s . ) If stone hits the lift at a distance ( x ) below the shaft write the value of ( frac{x}{3}(text { in } mathrm{m} ) ). (Take: ( left.boldsymbol{g}=mathbf{1 0 m} / boldsymbol{s}^{2}right](text { Give value of } mathbf{2 0} sqrt{mathbf{6}}=mathbf{4 9}) ) | 11 |

773 | A truck of mass ( 5 times 10^{3} k g ) starting from rest travels a distance of ( 0.5 mathrm{km} ) in ( 10 s ) when a force is applied on ¡t. Calculate the acceleration acquired by the truck A ( cdot 25 m s^{-2} ) B. ( 1 m s^{-2} ) c. ( 10 mathrm{cms}^{-2} ) D. ( 10 m s^{-2} ) | 11 |

774 | Which or the rollowıng grapns given below is impossible? ( A ) B. ( mathbf{c} ) D. | 11 |

775 | The velocity of rain with respect to the man when he is moving down is ( mathbf{A} cdot 3 m / s ) В. ( 3 sqrt{3} mathrm{m} / mathrm{s} ) c. ( 4 m / s ) D. None of these | 11 |

776 | 24. The v-t graph of the particle is correctly shown by a. b. 1 2T T 2T d. T 27 i I 27 | 11 |

777 | A motorcyclist drives from ( A ) to ( B ) with a uniform speed of ( 30 mathrm{km} mathrm{h}^{-1} ) and returns with a speed of ( 20 mathrm{km} mathrm{h}^{-1} ). Find his average speed. | 11 |

778 | To a man walking at the rate of ( 3 mathrm{km} / mathrm{h} ) the rain appears to fall vertically downwards. When he increases his speed to ( 6 mathrm{km} / mathrm{h} ) it appears to meet him at an angle of ( 45^{0} ) with vertical. Find the speed of rain. | 11 |

779 | Then the maximum height attained by the ball is A . ( 11.25 mathrm{m} ) B. 48.2 m c. ( 23.5 mathrm{m} ) D. 68 m | 11 |

780 | 8. The velocity-displacement graph of a particle moving along a straight line is shown in Fig. A.53. xo Fig. A.53 The most suitable acceleration -displacement graph will be (IIT JEE, 2005) b. pa | 11 |

781 | Larger the slope of a velocity-time graph A. lower is the acceleration B. higher is the acceleration C . lower the displacement D. higher the displacement | 11 |

782 | A car starts from rest and is uniformly accelerated to a speed of ( 30 mathrm{m} / mathrm{s} ) in ( 6 mathrm{s} ) What is the distance travelled by the car? ( A cdot 5 ) n B. 30 ( c cdot 90 ) D. ( 180 mathrm{m} ) | 11 |

783 | The displacement of a body along x-axis depends on time as ( x=sqrt{t+1} . ) Then the velocity of body A. increases with time B. decreases with time c. independent of time D. none of these | 11 |

784 | LADY 5. The location of a particle is changed. What can w about the displacement and distance covered by the particle? a. Both cannot be zero b. One of the two may be zero c. Both must be zero d. Both must be equal | 11 |

785 | Two bodies, ( A(text { of } operatorname{mass} 1 mathrm{kg}) ) and ( mathrm{B} ) (of mass ( 3 mathrm{kg} ) ), are dropped from heights of ( 16 mathrm{m} ) and ( 25 mathrm{m} ) respectively. The ratio of the time taken by them to reach the ground is:- A ( cdot frac{5}{4} ) в. ( frac{12}{5} ) c. ( frac{5}{12} ) D. ( frac{4}{5} ) | 11 |

786 | Two towns ( A ) and ( B ) are connected by a regular bus service with a bus leaving in either direction every T minutes. A man cycling with a speed ( 20 mathrm{km} mathrm{h}^{-1} ) in the direction ( A ) to ( B ) notices that a bus goes past him every 10 min in the direction of his motion, and every 2 min in the opposite direction. The speed of the bus on the road is: A. ( 10 mathrm{kmph} ) B. 20 kmph c. ( 40 mathrm{kmph} ) D. 30 kmph | 11 |

787 | Acceleration of a body thrown up from the surface of the earth is equal to A ( cdot 9.8 m s^{-2} ) B ( .-9.8 m s^{-2} ) c. ( 19.6 m s^{-2} ) D. zero | 11 |

788 | Equation of position (x) with time (t) is given by equation ( boldsymbol{x}=mathbf{3} boldsymbol{t}^{2}+mathbf{7} boldsymbol{t}^{2}+mathbf{5} boldsymbol{t}+ ) 8 ( m ). The acceleration at time ( t=1 ) sec is : A ( cdot 20 m / s e c^{2} ) B. ( 32 m / ) sec ( ^{2} ) c. zero D. ( 14 m / s e c^{2} ) | 11 |

789 | Displacement – time graphs of a body in motion along a line is represented by four curves ( (a),(b),(c) ) and ( (d) . ) Which of the curves indicated retardation motion? | 11 |

790 | 8. The velocity displacement graph of a particle moving along a straight line is shown in figure, Then the acceleration displacement graph is. 2 m/s -2m (a) (b) – 2 m/s2 a – 2m 2 m/s² (c) (d) -2 m/s2 -2 ml | 11 |

791 | A motor car is moving with the speed of ( 20 m s^{-1} ) on a circular track of radius ( 100 mathrm{m} . ) If its speed is increasing at the rate of ( 3 m s^{-} 2, ) the resultant acceleration is ( A cdot 3 m s^{-2} ) B. ( 5 m s^{-2} ) c. ( 2.5 m s^{-2} ) D. ( 3.5 m s^{-2} ) | 11 |

792 | The distance travelled by particle from ( boldsymbol{t}=mathbf{0} ) to ( boldsymbol{t}=mathbf{2} ) seconds is: ( mathbf{A} cdot 2 m ) B. ( 3 m ) c. ( 4 m ) D. ( 6 m ) | 11 |

793 | The following graph shows the variation of velocity of a rocket with time. Then the maximum height attained by the rocket is ( A cdot 1.1 mathrm{km} ) ( B .5 mathrm{km} ) ( c .55 mathrm{km} ) D. None of these | 11 |

794 | A person throws balls into air vertically upward in regular intervals of time of one second. The next ball is thrown when the velocity of the ball thrown earlier becomes zero. The height to which the balls rise is (Assume, ( left.g=10 m s^{-2}right) ) A. ( 5 m ) B. ( 10 m ) c. ( 7.5 m ) D. ( 20 m ) | 11 |

795 | Fill in the blanks. A body is projected upward. Up to the maximum height, the time taken will be greater to travel (first half/second half) | 11 |

796 | A parachutist after bailing out falls ( mathbf{5 0} boldsymbol{m} ) without friction. When parachute opens, it decelerates at ( 2 m s^{-2} . ) He reaches the ground with speed ( 3 m s^{-1} ) At what height did he bail out? ( left(g=9.81 m / s^{2}right) ) A. ( 91 m ) B. 182 m c. 293 m D. ( 111 m ) | 11 |

797 | The graph between displacement and time in a motion along straight is detached below. Which interval indicates that no force is acting on the particle? ( A cdot R S ) B. PQ c. PQ and OP D. op | 11 |

798 | Two trains ( A ) and ( B ) of length ( 400 m ) each are moving on two parallel tracks with a uniform speed of ( 72 mathrm{km} mathrm{h}^{-1} ) in the same direction, with ( A ) ahead of ( B ) The driver of ( B ) decides to overtake ( A ) and accelerates by ( 1 mathrm{m} mathrm{s}^{-2} ). If after ( 50 mathrm{s} ) the guard of ( B ) just brushes past the driver of ( A, ) what was the original distance between them? | 11 |

799 | The circular motion of a particle with constant speed is A. Periodic but not SHM c. Periodic and also SHM D. Neither periodic nor SHM | 11 |

800 | Two object ( A ) and ( B ) weighting ( 10 g ) and 10kg respectively are dropped from the same height. Will both the objects reach the ground together or will one of them reach early? A. Object A will reach first B. Object B will reach first c. Both will reach at the same time D. Unsure | 11 |

801 | 23. The relation between time t and distance x is t = ax Bx where a and Bare constants. The retardation is a. 20v3 b. 2Bv3 c. 2aßv3 d. 2b²v3 | 11 |

802 | A ball is thrown upward with an initial velocity of ( 100 mathrm{ms}^{-1} ). After how much time will it return to the ground. A. 20 B. 23 s c. 25 s D. 40 s | 11 |

803 | The maximum height reached by ball, as measured from the ground would be A. ( 73.65 mathrm{m} ) B. 116.25 m c. ( 82.56 mathrm{m} ) D. ( 63.25 mathrm{m} ) | 11 |

804 | 28. Acceleration of the particle is positive a. In graph (i) b. In graph (ii) c. In graph (iii) d. In graph (iv) | 11 |

805 | A stone is dropped from a rising balloon at a height of ( 300 mathrm{m} ) above the ground and it reaches the ground in 10 s. The velocity of the balloon when the stone was dropped is : A ( cdot 19 mathrm{m} s^{-1} ) B . ( 19.6 mathrm{m} s^{-1} ) c. ( 29 mathrm{m} s^{-1} ) D. o m ( s^{-1} ) | 11 |

806 | A car starting from a speed of ( 12 mathrm{m} / mathrm{s} ) slows to ( 6 mathrm{m} / mathrm{s} ) in a time of ( 3 mathrm{s} ). Calculate the average acceleration of the car? [Unless otherwise mention, use ( boldsymbol{g}= ) ( left.10 m / s^{2} text { and neglect air resistance }right] ) A ( cdot 2 m / s^{2} ) B . ( 4 m / s^{2} ) ( mathrm{c} cdot 3 mathrm{m} / mathrm{s}^{2} ) D. ( -2 m / s^{2} ) E ( .-4 m / s^{2} ) | 11 |

807 | ( A ) starts from rest and moves with an acceleration ( a_{1} . ) Two seconds later, ( B ) starts from rest and moves with an acceleration ( a_{2} ). If the displacement of ( A ) in the ( 5^{t h} ) second is the same as that of ( B ) in the same interval, the accelerations ( a_{1} ) and ( a_{2} ) are A ( cdot 2 m / s^{2}, 35 m / s^{2} ) B . ( 5 mathrm{m} / mathrm{s}^{2}, 9 mathrm{m} / mathrm{s}^{2} ) C. ( 11 mathrm{m} / mathrm{s}^{2}, 2 mathrm{m} / mathrm{s}^{2} ) D. ( 1 mathrm{m} / mathrm{s}^{2}, 10 mathrm{m} / mathrm{s}^{2} ) | 11 |

808 | If Michael Jordan has a vertical leap of 1.29 ( m ), then what is his hang time (total time to move upwards to the peak and then return to the ground)? A. ( 2.03 s ) B. ( 1.03 s ) c. ( 0.03 s ) D. ( 1.0 s ) | 11 |

809 | Маст! Соли 11. In each of the situations assume that particle was initially at rest at origin and there after it moved rectilinearly. Some of the graph in left column represent the same motion as represented by graphs in right column match these graphs. Column I Column II (p) (D) | 11 |

810 | A wheel having a diameter of 3 m starts from rest and accelerates uniformly to an angular velocity of 210 r.p.m. in 5 seconds. Angular acceleration of the wheel is: A. 4.4 rad ( s^{-2} ) B. 3.3 rad ( s^{-2} ) c. 2.2 rad ( s^{-2} ) D. 1.1 rad ( s^{-2} ) | 11 |

811 | When a ball is thrown up, it reaches a maximum height ( h ) travelling 5 m in the last second. Find the velocity with which the ball should be thrown up. | 11 |

812 | 25. The distances moved by a freely falling body (starting from rest) during 1st, 2nd, 3rd, …, nth second of its motion are proportional to a. Even numbers b. Odd numbers c. All integral numbers d. Squares of integral numbers .. . . …. 34. | 11 |

813 | A body throws a ball to his friend ( 20 m ) away. The ball reaches to the friend in 4s. The friend then throws the ball back to boy and it reaches the boy in ( 5 s ) A . The average velocity is ( frac{40}{9} mathrm{ms}^{-1} ) B. The average acceleration is zero c. The average velocity is zero but average acceleration is non zero D. Average acceleration of the motion cannot be defined | 11 |

814 | Position -time(x-t) grapg of a particle moving along ( x ) -axis is as shown in the figure.The average speed of particle in time interval ( t=0 ) to ( t=10 s ) is ( mathbf{A} cdot 2 m s^{-1} ) в. ( frac{4}{5}^{m s^{-1}} ) ( mathbf{c} cdot 1 m s^{-1} ) D. ( frac{5}{4} m s^{-} ) | 11 |

815 | The ( x ) and ( y ) coordinates of the particle at any time are ( x=5 t-2 t^{2} ) and ( y= ) 10t respectively, where ( x ) and ( y ) are in meters and ( t ) in seconds. The acceleration of the particle at ( t=2 s ) is: ( A cdot 0 ) В. ( 5 m / s^{2} ) c. ( -4 m / s^{2} ) D. ( -8 m / s^{2} ) | 11 |

816 | A boy can throw a stone up to a maximum height of ( 10 m . ) The maximum horizontal distance up to which the boy can throw the same stone up to will be A ( .20 sqrt{2} m ) the B. 10 c. ( 10 sqrt{2} ) ( D. 20 ( m ) | 11 |

817 | Identify the correct statement: A. For a body in motion, average speed can be zero but average velocity can not be zero B. For a body in motion, average velocity can be zero but average speed can not be zero C. For a body in motion, both average velocity and average speed can be zero D. For a body in motion, both average velocity and average speed can not be zero | 11 |

818 | A train travels from one station ( X ) to another station ( Y ) at a rate of ( 20 mathrm{km} / mathrm{hr} ) and returns at the rate of ( 30 mathrm{km} / mathrm{hr} ). The average speed of the total journey is ( mathbf{A} cdot 25 mathrm{km} / mathrm{hr} ) B. ( 24 mathrm{km} / mathrm{hr} ) ( mathbf{c} .35 mathrm{km} / mathrm{hr} ) D. ( 40 mathrm{km} / mathrm{hr} ) | 11 |

819 | The diagram shows the displacement time graph for a particle moving in a straight line. The average velocity for the internalt ( =mathbf{0}, boldsymbol{t}=mathbf{5} ) ( A ) 3. ( 6 m / s 6 m / s ) ( mathrm{c} .-2 m / s ) D. ( 2 m / s ) | 11 |

820 | Two particle starting from a point on a circle of radius ( 4 mathrm{m} ) in horizontal plane move along the circle with constant speed of ( 4 mathrm{ms}^{-1} ) and ( 6 mathrm{ms}^{-1} ) respectively in opposite direction.The paticles will collide with each other after a time of A . ( 3.0 s ) в. ( 2.5 s ) ( c .2 .0 s ) D. ( 1.5 s ) | 11 |

821 | How much time does it take the automobile to overtake the truck? | 11 |

822 | 3. In a car race, car A takes 4 s less than car B at the finish and passes the finishing point with a velocity v more than the car B. Assuming that the cars start form rest and travel with constant accelerations a,= 4 ms and a2 = 1 ms 2 respectively, find the velocity of v in ms. | 11 |

823 | 1. A particle moves along a straight line such that its displacement S varies with time t as S = a + bt + gr. Column I i. Acceleration at t = 2 s ii. Average velocity during third second üï. Velocity at t=1s iv. Initial displacement Column II a. ß + 5y b. 2y c. a d. B= 27 | 11 |

824 | A reaction time for an automobile driver is 0.7 sec. If the automobile can be declared at ( 5 ~ m / s^{2} ) calculate the total distance travelled in coming to stop from an initial velocity of ( 8.33 m / s ) after a signal is observed. A . ( 12.77 m ) в. ( 14.82 m ) ( c .16 .83 m ) D. ( 19.65 m ) | 11 |

825 | A stone thrown vertically upwards with an initial velocity ( u ) from the top of a tower, reaches the ground with a velocity of 3 ( u ). The height of the tower is : A. ( 3 u^{2} / g ) B. ( 4 u^{2} / g ) c. ( 6 u^{2} / g ) D. ( 9 u^{2} / g ) | 11 |

826 | An elevator is moving upwards with constant acceleration. The dashed curve in figure. shows the position y of the ceiling of the elevator as a function of time t. At the instant indicated by the point ( P ) a bolt breaks loose and drops from the ceiling. Which of the solid curves shown best describes the position of the bolt as a function of time? ( A ) B. ( c ) D. IV | 11 |

827 | O JJ N d. None of these 4. From the velocity-time graph, given in Fig. 4.164 of a particle moving in a straight line, one can conclude that v (ms-5 DO – 3 8 12 Fig. 4.164 a. Its average velocity during the 12 s interval is 24/7 ms b. Its velocity for the first 3 sis uniform and is equal to 4 ms. c. The body has a constant acceleration between t = 3 S and t = 8 s. d. The body has a uniform retardation from t = 8 s to t = 12 s. and | 11 |

828 | An object, moving with a speed of ( 6.25 m s^{-1}, ) is decelerated at a rate given by ( frac{d v}{d t}=-2.5 sqrt{v} ) where ( v ) is the instantaneous speed. The time taken by the object, to come to rest, would be A . ( 1 s ) B . 2 s c. ( 4 s ) D. 8 | 11 |

829 | A stone thrown vertically upwards with a speed of ( 5 m / s ) attains a height ( H_{1} ) Another stone thrown upwards from the same point with a speed of ( 10 m / s ) attains a height ( boldsymbol{H}_{2} ). The correct relation between ( H_{1} ) and ( H_{2} ) is A ( . H_{2}=4 H_{1} ) В. ( H_{2}=3 H_{1} ) ( mathbf{c} cdot H_{1}=2 H_{2} ) D. ( H_{1}=H_{2} ) | 11 |

830 | 4. The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as (a) 5 m/sec; 1 m/sec (b) 4 m/sec; 1 m/sec (c) 4 m/sec; 2 m/sec (d) 5 m/sec; 2 m/sec e ithead of 5 lm olotive to water in | 11 |

831 | Tripling the speed of a motor car multiplies the distance needed for stopping it by ( A cdot 3 ) B. 6 ( c cdot 9 ) D. some other number | 11 |

832 | A body dropped freely has covered ( (16 / 25)^{t h} ) of the total distance in the last second. Its total time of fall is A . ( 2.5 s ) B. ( 5 s ) c. ( 7.5 s ) D. ( 1 s ) | 11 |

833 | A particle moves along a straight line such that it’s displacement x changes with time ( t ) as ( x=sqrt{a t^{2}+2 b t+c} ) A ( cdot frac{1}{x} ) B. ( frac{1}{x^{2}} ) c. ( frac{1}{x^{3}} ) D. ( frac{1}{x^{4}} ) | 11 |

834 | A man of mass ( m_{1} ) is standing on a platform of mass ( m_{2} ) kept on a smooth horizontal surface. The man starts moving on the platform with a velocity ( v_{r} ) relative to the platform. Find the recoil velocity of platform. | 11 |

835 | Which of the following can be zero, when a particle is in motion for some time? A. Distance B. Displacement c. speed D. None of these | 11 |

836 | The velocity of a body depends on time according to the equation ( boldsymbol{v}=mathbf{2 0}+ ) ( 0.1 t^{2} . ) The body is undergoing: A. Uniform acceleration B. Uniform retardation c. Non-uniform acceleration D. Zero acceleration | 11 |

837 | A body in uniform motion moves with: A. constant velocity B. constant speed c. constant acceleration D. none of these | 11 |

838 | f the value of ( T ) is ( 4 s, ) then the times after which A will meet B i ( 4.12 mathrm{s} ) B. 6 s ( c cdot 8 s ) D. data insufficient | 11 |

839 | A car moving with constant acceleration covered the distance between two points ( 60.0 mathrm{m} ) apart in 6.00 s. Its speed as it passes the second point was ( 15.0 mathrm{m} / mathrm{s} ). What was the speed at the first point? | 11 |

840 | A particle of mass ( 12 mathrm{kg} ) is acted upon by a force ( boldsymbol{f}=left(mathbf{1 0 0}-mathbf{2 x}^{mathbf{2}}right) ) when ( boldsymbol{f} ) is in newton and ( x ) is in metre. Calculate the wrok done by this force in moving the particle ( boldsymbol{x}=mathbf{0} ) to ( boldsymbol{x}=-mathbf{1 0 m} . ) What will be the speed at ( x=10 m ) if it starts from rest. | 11 |

841 | 5. The displacement of a body at any time t after starting is given by s = 10t – (0.2)82. The velocity of the body is zero after: (a) 50 s (b) 100 s (c) 80 s (d) 40 s | 11 |

842 | A particle moves along with x-axis. The position ( x ) of article with respect to time ( mathrm{t} ) from origin given by ( boldsymbol{x}=boldsymbol{b}^{0}+boldsymbol{b}_{1} boldsymbol{t}+ ) ( b_{2} t^{2} . ) The acceleration of particle is: ( A cdot b_{0} ) в. ( b_{1} ) ( c cdot b_{2} ) D. ( 2 b_{2} ) | 11 |

843 | The displacement of a particle along the ( x ) -axis is given by ( x=a sin ^{2} omega t . ) The motion of the particle corresponds to. A. simple harmonic motion of frequency ( omega / pi ) B. Simple harmonic motion of frequency ( 3 omega / 2 pi ) c. Non simple harmonic motion D. Simple harmonic motion of frequency ( omega / 2 pi ) | 11 |

844 | The pulley and string are shown in Fig. smooth and of negligible mass. For the system to remain in equilibrium, the angle ( theta ) should be ( A cdot 0^{0} ) B. ( 30^{circ} ) ( c cdot 45^{circ} ) D. ( 60^{circ} ) | 11 |

845 | A stone is thrown upwards from a tower with a velocity ( 50 m s^{-1} ). Another stone is simultaneously thrown downwards from the same location with a velocity ( 50 m s^{-1} . ) When the first stone is at the highest point, the relative velocity of the second stone with respect to the first stone is (assume that second stone has not yet, reached the ground A. zero B. ( 50 m s^{-1} ) ( c cdot_{100 m s^{-}} ) D. ( 150 mathrm{ms}^{-1} ) | 11 |

846 | 3. A rocket is moving in a gravity free space with a constant acceleration of 2 ms2 along +x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in +x direction with a speed of 0.3 ms relative to the rocket. At the same time, another ball is thrown in -x direction with a speed of 0.2 ms from its right end relative to the rocket. The time in seconds when the two balls hit each other is Ja = 2 ms-2 0.3 ms -1 0.2 ms -1 4 m Fig. A.56 (JEE Advanced, 2014) | 11 |

847 | A stone is thrown upwards with a velocity ( 50 m g^{-1} ). Another stone is simultaneously thrown downwards from the same location with a velocity ( 50 m s^{-1} . ) When the first stone is at the highest point, the relative velocity of the second stone w.r.t. the first stone is: A. Zero B. ( 50 m s^{-1} ) c. ( 100 mathrm{ms}^{-1} ) D. ( 150 mathrm{ms}^{-1} ) | 11 |

848 | The given figure shows the velocity-time graph of an object. Find the acceleration during the last ( 15 s ) ( mathbf{A} cdot-2 m / s^{2} ) B ( cdot-4 m / s^{2} ) ( mathrm{C} cdot-8 mathrm{m} / mathrm{s}^{2} ) ( mathbf{D} cdot-16 m / s^{2} ) | 11 |

849 | The acceleration-time graph of a body being a straight line parallel to the time axis implies (Assume graph in first quadrant) A. that the velocity of the body increases uniformly with time B. that the velocity of the body decreases uniformly with time c. that the velocity of the body is constant D. that the body is at rest | 11 |

850 | A ball is dropped from rest at a height of ( 60 mathrm{m} . ) On striking the ground, it loses ( 25 % ) of its of its energy. To what height does it rebound? | 11 |

851 | 4. The displacement versus time curve is given (Fig. 4.183). Sections OA and BC are parabolic. CD is parallel to the time axis. ok Fig. 4.183 Column I Column II OA ii. AB a. b. c. d. Velocity increases with time linearly Velocity decreases with time Velocity is independent of time Velocity is zero iii. iv. BC CD | 11 |

852 | What we say when a body remains in one position for a long time? A. Motion B. Rest c. Stationary D. None of the above | 11 |

853 | A moving body of mass m makes a head on elastic collision with another body of mass ( 2 mathrm{m} ) which is initially at rest. Find the fraction of kinetic energy lost by the colliding particle after collision. | 11 |

854 | The gradient or slope of the distancetime graph at any point gives A. Acceleration B. Displacement c. velocity D. Time | 11 |

855 | A ball is thrown vertically upwards. It has a speed of ( 10 mathrm{m} s^{-1} ) when it has reached one half of its maximum height. How high does the ball rise? (Take ( left.g=10 mathrm{m} s^{-2}right) ) A. ( 10 mathrm{m} ) B. ( 5 mathrm{m} ) ( c cdot 15 m ) D. 20 ( m ) | 11 |

856 | The motion described by a simple pendulum is motion A. oscillatory B. rotatory c. rectilinear D. curvilinear | 11 |

857 | An object is thrown vertically upwards and rises to a height of ( 10 mathrm{m} ). Calculate the time taken by the object to reach the highest point: A . 3.88 s B. 2.87 s c. 1.43 s D. 1.01 s | 11 |

858 | In which of the following option could represent the ball increasing its speed? ( A ) [ text { (A) } . quad bullet quad bullet quad bullet quad text { ・ } ] B. [ text { (B) } bullet bullet quad bullet ] ( mathbf{c} ) (C) D. (D) [ bullet ] E . (E) | 11 |

859 | A bus travelling along a straight highway covers one-third of the total distance between two places with a velocity ( 20 k m h^{-1} . ) The remaining part of the distance was covered with a velocity of ( 30 k m h^{-1} ) for the first half of the remaining time and with velocity ( 50 k m h^{-1} ) for the next half of the time. Find the average velocity of the bus for its whole journey. | 11 |

860 | The displacements is given by ( boldsymbol{x}=mathbf{2}+ ) ( 4 t+5 t^{2} . ) Find the value of instantaneous acceleration? | 11 |

861 | Match the entries in List 1 with appropriate ones from List 2 | 11 |

862 | The velocity ( V ) of a body moving along a straight line varies with time ( t ) as ( v= ) ( 2 t^{2} e^{-t}, ) where ( v ) is in ( m / s ) and ( t ) in second The acceleration of body is zero at ( t= ) ( mathbf{A} cdot mathbf{0} ) B . ( 2 s ) ( c .3 ) D. Both (A) and (B) | 11 |

863 | A ball is thrown vertically upwards from the top of a tower with an initial velocity of ( 19.6 m s^{-1} . ) The ball reaches the ground after ( 5 s . ) Calculate ( :(i) ) the height of the tower, (ii) the velocity of ball on reaching the ground. Take ( g=9.8 m s^{-2} ) A . ( (i) 24.5 m,(i i) 29.4 m s^{-1} ) B . (i)24.5m, (ii)19.4 m s ( ^{-1} ) C ( cdot(i) 24.5 m,(i i) 28 m s^{-1} ) D. ( (i) 25 m,(i i) 29.4 mathrm{m} s^{-1} ) | 11 |

864 | A man running with a uniform speed ‘u’ on a straight road observed a stationary bus at a distance ‘d’ ahead of him. At that instance, the bus starts with an acceleration ‘a’. The condition that he would be able to catch the bus is: | 11 |

865 | Name the type of motion when a girl is skipping a rope and moving forward | 11 |

866 | A block of mass ( mathrm{m} ) is lying at rest at point ( P ) of a wedge having a smooth semi-circular track of radius R. What should be the minimum value of ( a_{0} ) so that the mass canjust reach point ( Q ) ( A cdot frac{q}{2} ) В. ( sqrt{g} ) ( c cdot g ) D. Not possible | 11 |

867 | A ball is gently dropped from a height of ( 20 m . ) If its velocity increases uniformly at the rate of ( 10 m s^{-2}, ) with what velocity will it strike the ground? After what time will it strike the ground? | 11 |

868 | The value of acceleration due to gravity on earth is. ( mathbf{A} cdot 9.8 mathrm{ms}^{-2} ) B. 15376 c. 227004 D. 127008 | 11 |

869 | What does the path of an object look like when it is in uniform motion? A. Straight line B. Zig-Zag c. curved line D. cicular | 11 |

870 | topp ( E ) Q туре your question velocity (v) and acceleration (a) of the rock when it is at its highest position? ( c ) in [ a ] ( D ) 0 [ v=0 quad a=0 ] | 11 |

871 | From a ( 200 m ) high tower, one ball is thrown upwards with speed of ( 10 m / s ) and another is thrown vertically downwards at the same speed simultaneously. The time difference of their reaching the ground will be nearest to A . ( 12 s ) B. ( 6 s ) c. ( 2 s ) D. ( 1 s ) | 11 |

872 | In a carnival ride the passengers travel in a circle of radius ( 5 mathrm{m} ), making one complete circle in 4 sec. What is the acceleration? | 11 |

873 | A helicopter is flying south with a speed of ( 50 mathrm{kmh}^{-1} ). A train is moving with the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be ( 50 sqrt{2} mathrm{kmh}^{-1} ) towards A. northwest B. southwest c. northeast D. southeast | 11 |

874 | A stone is dropped into a well of depth ( h ” . ) The splash is heard after time ” ( boldsymbol{t} ” ) If ” ( C ” ) be the velocity of sound, then – A ( cdot t=sqrt{frac{g c}{2 h}} ) B. ( t=c+g h ) c. ( t=c-v ) D. ( t=frac{h}{c}+sqrt{frac{2 h}{g}} ) | 11 |

875 | A boy standing on an open car throws a ball vertically upwards with a velocity of ( 9.8 m / s, ) while moving horizontally with uniform acceleration of ( 1 mathrm{m} / mathrm{s}^{2} ) starting from rest. The ball will fall behind the boy on the car at a distance of ( mathbf{A} cdot 1 m ) B. ( 2 m ) ( c .3 m ) D. ( 4 m ) | 11 |

876 | 5. At time t = 0, a car moving along a straight line has a velocity of 16 ms. It slows down with an acceleration of -0.5t ms, where t is in seconds. Mark the correct statement(s). a. The direction of velocity changes at t = 8 s. b. The distance travelled in 4 s is approximately 59 m. c. The distance travelled by the particle in 10 s is 94 m. d. The velocity at t = 10 s is 9 ms’ | 11 |

877 | 16. The ratio of the distance carried away by the water current, downstream, in crossing a river, by a person, making same angle with downstream and upstream is 2:1. The ratio of the speed of person to the water current cannot be less than a. 113 b. 415 c. 215 d. 413 1 – A inolfi | 11 |

878 | Galileos law of odd numbers: “The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as the odd numbers beginning with unity [namely,1 : 3 : 5 : 7..]”. Prove it | 11 |

879 | A stationary source is emitting sound at a fixed frequency ( f_{0}, ) which is reflected by two cars approaching the source. The difference between the frequencies of sound reflected from the cars in ( 1.2 % ) of ( f_{0} . ) What is the difference in the speed of the cars (in km per hour) to nearest integer? The cars are moving at constant speeds much smaller that the speed of sound which is ( 330 m s^{-1} ) A .2 B. 3 c. 5 D. 7 | 11 |

880 | The slope of velocity ( (v) ) vs. time ( (t ) curve at any instant of time gives: A. displacement B. velocity c. acceleration D. all of the above | 11 |

881 | A ball weighing 15 g is tied to a string 10 cm long. Initially the ball is held in the position such that the string is horizontal. The ball is now released. A nail N is situated vertically below the support at a distance The minimum value of L such that the | 11 |

882 | Illustration 4.10 A particle describes an angle in a circular path with a constant speed y. Find the (a) change in the velocity of the particle and (b) average acceleration of the particle during the motion in the curve (circle). OR o Je 12 Fig. 4.15 | 11 |

883 | A circular loop of rope angular velocity ( omega ) about an axis through its center on a horizontal smooth platform. Velocity of pulse (with re: ill 4 w rope) produced due to slight radial displacement given by: ( A cdot omega L ) в. ( frac{omega L}{2 pi} ) c. ( frac{omega L}{pi} ) D. ( frac{omega L}{4 pi^{2}} ) | 11 |

884 | 27. The loaded bucket of a crane achievers a maximum velocity 5 m/s in some time at a uniform rate and then takes half of this time to stop at a uniform rate after the application of brake. The time difference between the instants when half of the maximum velocity is achieved is t (sec). Find the displacement of the bucket. | 11 |

885 | Given that, ( boldsymbol{t}=mathbf{5} boldsymbol{s}, boldsymbol{u}=mathbf{0} boldsymbol{m} / boldsymbol{s}, boldsymbol{s}= ) ( 110 m ) find the acceleration | 11 |

886 | Two fat astronauts each of mass ( 120 k g ) are travelling in a closed spaceship moving at a speed of ( 15 k m ) inthe outer space far removed from all other material objects. | 11 |

887 | Larger the slope of a displacement-time graph A. lesser the velocity B. higher the velocity c. lesser the acceleration D. higher the acceleration | 11 |

888 | The area under velocity-time graph gives: A. acceleration B. distance c. displacement D. velocity | 11 |

889 | The displacement ( (x) ) – time ( (t) ) graph of a particle in one dimension motion is as shown in the figure, the average speed is greatest in the interval: ( A ) B. ( c ) ( D ) | 11 |

890 | If a body starts from rest and travels ( 120 mathrm{cm} ) in the ( 6^{t h} ) second then what is the acceleration? ( mathbf{A} cdot 0.20 m / s^{2} ) В. ( 0.027 m / s^{2} ) C. ( 0.218 mathrm{m} / mathrm{s}^{2} ) D. ( 0.003 m / s^{2} ) | 11 |

891 | A ball is dropped from a balloon going up at a speed of ( 7 mathrm{m} / mathrm{s} ). If the balloon was at a height of ( 60 mathrm{m} ) at the time of dropping the ball, how long will the ball take in reaching the ground? | 11 |

892 | The acceleration of a moving body can be found from the area under velocitytime graph. A. True B. False | 11 |

893 | A big truck moving along a straight line at a speed of ( 54 mathrm{km} / mathrm{hr} ) stop in ( 5 mathrm{s} ) after the breaks are applied. Find the acceleration. | 11 |

894 | 11. The velocity of a particle moving in the positive direction of x-axis varies as v= 10vx . Assuming that at t=0, particle was at x = 0. (a) The initial velocity of the particle is zero. (b) The initial velocity of the particle is 2.5 m/s. (c) The acceleration of the particle is 2.5 m/s2. (d) The acceleration of the particle is 50 m/s. | 11 |

895 | A man travels along a straight line. He covers the first half distance with constant velocity ( v_{1} ) and the next half distance with constant velocity ( v_{2} . ) The average velocity of man will be : A ( cdot frac{v_{1}+v_{2}}{2} ) B. ( v=frac{2 v_{1} v_{2}}{v_{1}+v_{2}} ) ( mathbf{c} cdotleft(v_{1} v_{2}right)^{1 / 2} ) D ( cdotleft(frac{v_{2}}{v_{1}}right)^{1 / 2} ) | 11 |

896 | Two bodies are thrown simultaneously from a tower with same initial velocity ( v_{0} ) one vertically upwards, the other vertically downwards. The distance between the two bodies after time t is ( mathbf{A} cdot 2 v_{0} t+frac{1}{2} g t^{2} ) B. ( 2 v_{0} ) C. ( v_{0} t+frac{1}{2} g t^{2} ) D. ( v_{0} ) | 11 |

897 | In displacement-time graph of a particle as shown in figure, velocity of particle changes its direction at point ( mathbf{A} ) Reason Sign of slope of ( s ) -t graph decides the direction of velocity. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion C. Assertion is correct but Reason is incorrect D. Assertion is incorrect but Reason is correct | 11 |

898 | A particle is projected vertically upwards with velocity ( 40 m s^{-1} ). Find the displacement and distance travelled by the particle in 6 s. ( left[text { take } g=10 m / s^{2}right] ) A. ( 60 m, 100 m ) B. ( 60 m, 120 m ) c. ( 40 m, 100 m ) D. ( 40 m, 80 m ) | 11 |

899 | 2. Statement I: Distance and displacement are different physical quantities. Statement II: Distance and displacement have same dimension. | 11 |

900 | A new unit of length is chosen such that the speed of light in vacuum is unity. What is the distance between the Sun and the Earth in terms of the new unit if light takes 8 min and 20 s to cover this distance? A. 100 unit B. 500 unit c. 2 unit D. 20 unit | 11 |

901 | The acceleration of a body projected upwards with a certain velocity is equal to A ( cdot 9.8 m / s^{2} ) В. ( -9.8 m / s^{2} ) c. zero D. insufficient data | 11 |

902 | If the velocity of a body does not change with time, its acceleration is | 11 |

903 | After ( 10 s ) of the start of motion of both objects ( boldsymbol{A} ) and ( boldsymbol{B}, ) find the value of velocity of ( boldsymbol{A} ) if ( boldsymbol{u}_{boldsymbol{A}}=boldsymbol{6} boldsymbol{m} boldsymbol{s}^{-1}, boldsymbol{u}_{boldsymbol{B}}= ) ( 12 m s^{-1} ) and at ( T ) velocity of ( A ) is ( 8 m s^{-1} ) and ( T=4 s ) ( mathbf{A} cdot 12 m s^{-1} ) ( mathbf{B} cdot 10 m s^{-1} ) ( mathbf{c} cdot 15 m s^{-1} ) D. None of these | 11 |

904 | A car moves in a semicircular track of radius 700 m. If it starts from one end of the track and stops at the other end, the displacement of car is: A . ( 2200 m ) B. ( 700 m ) c. ( 1400 m ) D. ( 800 m ) | 11 |

905 | Velocity at the top of vertical journey under gravity when a body is projected upward with velocity ( 1000 m / s ) is A. zero в. ( 10 mathrm{m} / mathrm{s} ) c. ( 100 m / s ) D. ( 1000 mathrm{m} / mathrm{s} ) | 11 |

906 | A body travels ( 200 mathrm{cm} ) in the first two seconds and ( 220 mathrm{cm} ) in the next 4 seconds with same acceleration. The velocity of the body at the end of the 7 th second is: ( A cdot 5 mathrm{cm} / mathrm{s} ) B. ( 10 mathrm{cm} / mathrm{s} ) ( c cdot 15 mathrm{cm} / mathrm{s} ) D. 20 cm/s | 11 |

907 | A car moving with speed of ( 40 mathrm{km} / mathrm{hr} ) can be stopped by applying brakes after at least ( 2 m ). If the same car is moving with a speed of ( 80 mathrm{km} / mathrm{hr} ) what is the minimum stopping distance? A ( .2 m ) в. ( 4 m ) ( c .6 m ) D. ( 8 m ) | 11 |

908 | O TUOS 17. A body is released from the top of a tower of height H m. After 2 s it is stopped and then instantaneously released. What will be its height after next 2 s? a. (H-5) m b. (H – 10 m c. (H – 20) m d . (H – 40) m todo is droned fro | 11 |

909 | A bullet moving at ( 250 mathrm{m} / mathrm{s} ) penetrates ( 5 mathrm{cm} ) into a tree limb before coming to rest. Assuming that the force exerted by the tree limb is uniform, find its magnitude. Mass of the bullet is ( 10 g ). A . ( 625 N ) В. ( 6250 N ) ( c cdot 62.50 N ) D. ( 6.250 N ) | 11 |

910 | You are driving along the street at the speed limit ( (35 m p h) ) and 50 meters before reaching a traffic light you notice it becoming yellow. You accelerate to make the traffic light within the 3 seconds it takes for it to turn red. What is your speed as you cross the intersection? Assume that the acceleration is constant and that there is no air resistance. A. ( 30 m p h ) в. ( 40 mathrm{mph} ) c. ( 50 m p h ) D. ( 60 m p h ) | 11 |

911 | Motion of bodies ( A ) and ( B ) is depicted by the ( x ) -t graph. Now consider the following statements (a), (b), (c) and (d) and select the incorrect option. (a) A has uniform motion (b) ( mathrm{B} ) has less velocity than A initially (e) B crosses A at a displacement X (d) A comes to rest at a displacement ( x ) ( A cdot ) Only ( (a) ) B. (b) and (c) ( c cdot(b),(c) ) and ( (d) ) D. All of them | 11 |

912 | Differentiate between Distance and Displacement. | 11 |

913 | 13. The velocity-time plot for a particle moving on a straight line is shown in Fig. 4.175. (ms) 10 ” To 20 130 (5) -10—— –20+—— Fig. 4.175 a. The particle has a constant acceleration. b. The particle has never turned around. c. The particle has zero displacement. d. The average speed in the interval 0 to 10 s is the same as the average speed in the interval 10 s to 20 s. | 11 |

914 | The distance between two particle is decreasing at the rate of ( 6 mathrm{m} / mathrm{sec} ). If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particle have speed as A. ( 5 mathrm{m} / mathrm{sec} ; 1 mathrm{m} / mathrm{sec} ) B. ( 4 mathrm{m} / mathrm{sec} ; 1 mathrm{m} / mathrm{sec} ) c. ( 4 mathrm{m} / mathrm{sec} ; 2 mathrm{m} / mathrm{sec} ) D. ( 5 mathrm{m} / mathrm{sec} ; 2 mathrm{m} / mathrm{sec} ) | 11 |

915 | The velocity of a particle is ( boldsymbol{v}=boldsymbol{v}_{0}+ ) ( g t+f t^{2} . ) If its position is ( x=0 ) at ( t=0 ) then its displacement after unit time ( (mathrm{t} ) ( =1) ) is: A ( cdot v_{0}+2 g+3 f ) В. ( v_{0}+frac{g}{2}+frac{f}{3} ) ( mathbf{c} cdot v_{0}+g+f ) D. ( v_{0}+frac{g}{2}+f ) | 11 |

916 | Two trains depart from one station, one going north at 30.00 miles per hour, and another going west, steadily accelerating with a rate of 0.3333 miles per minute How many minutes after departure would the two trains be 50.00 miles apart? A. 10.96 min B. 76.28 min c. 89.54 min D. 120.0 min E . 240.0 min | 11 |

917 | 11. A man in a lift ascending with an upward acceleration ‘a’ throws a ball vertically upwards with a velocity v with respect to himself and catches it after ‘t’ seconds. Afterwards when the lift is descending with the same acceleration ‘a’ acting downwards the man again throws the ball vertically upwards with the same velocity with respect to him and catches it after ‘t’ seconds? (a) the acceleration of the ball w.r.t. ground is g when it is in air (b) the velocity v of the ball relative to the lift is tita (c) the acceleration ‘a’ of the lift is 8 t+tz (d) the velocity ‘v’ of the ball relative to the man is gtt2 (t+t2) | 11 |

918 | A lift in which a man is standing, is moving upwards with a speed of ( 10 mathrm{m} / mathrm{s} ) The man drops a coin from a height of ( 4.9 m ) and if ( g=9.8 m / s^{2}, ) then the coin reaches the floor of the lift after a time A ( cdot sqrt{2} s ) B. ( 1 s ) c. ( frac{1}{2} s ) D. ( frac{1}{sqrt{2}} s ) | 11 |

919 | The ( x ) -t plot shown in the figure below describes the motion of the particle, along ( x ) -axis, between two positions ( A ) and B. The particle passes through two intermediate points ( P_{1} ) and ( P_{2} ) as shown in the figure. A. The instantaneous velocity is positive as ( P_{1} ) and negative at ( P_{2} ) B. The instantaneous velocity is negative at both ( P_{1} ) and ( P_{2} ) C. The instantaneous velocity is negative at ( P_{1} ) and positive at ( P_{2} ) D. The instantaneous velocity is positive at both ( P_{1} ) and ( P_{2} ) E. The instantaneous velocity is always positive | 11 |

920 | If a body travels ( 30 m ) in an interval of ( 2 s ) and ( 50 m ) in the next interval of ( 2 s ) then the acceleration of the body is: A. ( 10 mathrm{ms}^{-2} ) B. ( 5 m s^{-2} ) c. ( 20 m s^{-2} ) D. ( 25 mathrm{ms}^{-2} ) | 11 |

921 | A machine gun is mounted on a ( 2000 k g ) vehicle on a horizontal smooth road (friction negligible). The gun fires 10 bullets per sec with a velocity of ( 500 m / s . ) If the mass of each bullet be ( 10 g, ) what is the acceleration produced in the vehicle? A ( cdot 25 c m / s^{2} ) B. ( 0.025 mathrm{m} / mathrm{s}^{2} ) c. ( 0.50 mathrm{cm} / mathrm{s}^{2} ) D. ( 50 m / s^{2} ) | 11 |

922 | The acceleration due to gravity g is determined by dropping an object through a distance of exactly 10 m. The time is to be measured so that the result is to be good to ( 0.1 % ). If the absolute error is ( n times 10^{-4} mathrm{S} ), find ( n ) (Take ( g=10 mathrm{m} / mathrm{s}^{2} ) in calculation) ( A cdot 7 ) B. 3 c. 14 D. 6 | 11 |

923 | A particle moving with velocity of magnitude V changes its direction of motion by angle ( theta ) without change in speed. Find the (a) Magnitude of change of velocity. (b)Change in magnitude of velocity. | 11 |

924 | Distance travelled in nth second has the units of A. displacement B. velocity c. acceleration D. momentum | 11 |

925 | istration 4.58 The velocity-displacement for a jet plane straight runway is shown in Fig. 4.116. Determine the ped and acceleration of the jet plane at s = 150 m. O vém s-‘) 0 s(m) 100 200 250 Fig. 4.116 | 11 |

926 | A ball thrown upwards at an angle describes ( -ldots- ) motion A . curvilinear B. rectilinear c. periodic D. oscillatory | 11 |

927 | Observe the given situation and answer the following questions. Rahul and Ravi are playing in a ground. They start running from the same point ( x ) simultaneously in the ground and reach point ( Y ) at the same time by following paths marked 1 and 2 respectively, as shown in the figure. Which of the following is correct statement for the given situation? A. Rahul covers a longer distance with a lower speed B. Rahul covers a longer distance with a higher speed C. Rahul and Ravi both cover different distances with same speed. D. Ravi covers a shorter distance with higher speed | 11 |

928 | A body lying initially at point (3,7) starts moving with a constant acceleration of 4i. Its position after 3 s is given by the co-ordinates: ( A cdot(7,3) ) B. (7,18) c. (21, 7) D. (3,7) | 11 |

929 | The maximum separation between the floor of elevator and the ball during its flight would be A . ( 12 mathrm{m} ) B. 15 ( m ) c. ( 9.5 mathrm{m} ) D. 7.5 ( m ) | 11 |

930 | 22. A balloon starts rising from ground from rest at some constant acceleration. After some time, a stone is dropped from it. If the stone reaches the ground in the same time in which balloon reached the dropping point from ground, find the acceleration of the balloon. TL.L1.m ond from thaton afaten afheim. U | 11 |

931 | A body travelling with uniform acceleration crosses two points ( A ) and ( B ) with velocities ( 20 m s^{-1} ) and ( 30 m s^{-1} ) respectively. The speed of the body at mid-point of ( A ) and ( B ) is: A ( cdot 25 m s^{-1} ) B . ( 25.5 mathrm{ms}^{-1} ) c. ( 24 m s^{-1} ) D. ( 10 sqrt{6} mathrm{ms}^{-1} ) | 11 |

932 | A car moves with a speed of ( 40 mathrm{km} / mathrm{h} ) for 15 minutes and then with a speed of 60 ( mathrm{km} / mathrm{h} ) for the next 15 minutes. The total distance covered by the car is : A . 35 B. 25 ( c cdot 45 ) D. 66 | 11 |

933 | Can the speed of a body be negative? | 11 |

934 | ( frac{k}{k} ) | 11 |

935 | A truck and a car are moving with equal velocity, on applying brakes, both will stop after certain distance and then : A. Truck will cover less distance before stopping B. Car will cover less distance before stopping c. Both will cover equal distance D. None | 11 |

936 | A body is thrown up with an initial velocity ( u ) and covers a maximum height of ( h, ) then h is equal to ( ^{mathrm{A}} cdot frac{u^{2}}{2 g} ) в. ( frac{u}{2 g g} ) c. 2 ug D. none of these | 11 |

937 | The average velocity of a body moving with uniform acceleration after travelling a distance of ( 3.06 m ) is ( mathbf{0 . 3 4} boldsymbol{m} / boldsymbol{s} . ) The change in velocity of the body is ( 0.18 m / s . ) During this time, its acceleration is A ( cdot 0.01 mathrm{m} / mathrm{s}^{2} ) B. ( 0.02 mathrm{m} / mathrm{s}^{2} ) c. ( 0.03 mathrm{m} / mathrm{s}^{2} ) D. ( 0.04 mathrm{m} / mathrm{s}^{2} ) | 11 |

938 | 11. Find the expression for the acceleration of the particle. (a) 3t2 + 3t (b) 6t(t-1) (c) 6t2 + 3t (d) none | 11 |

939 | The distance through which a body falls in the ( n^{t h} ) second is ( h . ) The distance through which it falls in the next second is ( A cdot h ) B. ( h+frac{g}{2} ) c. ( h-g ) D. ( h+g ) | 11 |

940 | The velocity time graph of a body moving in a straight line is shown in the figure. The displacement and distance traveled by the body in 8 s are A. ( 12 mathrm{m}, 20 mathrm{m} ) B. ( 14 mathrm{m}, 12 mathrm{m} ) ( c cdot 16 m, 20 m ) D. ( 12 mathrm{m} .16 mathrm{m} ) | 11 |

941 | A particle starts from point ( A ) moves along a straight line path with an acceleration given by ( a=p-q x, ) where ( p, q ) are constants and ( x ) is distance from point ( A . ) The particle stops at point B. The maximum velocity of the particle is A. ( underline{p} ) ( q ) B. ( frac{p}{sqrt{q}} ) c. ( frac{q}{p} ) D. ( frac{sqrt{q}}{p} ) | 11 |

942 | The velocity-position graph of a particle is shown in figure. Obtain the relation between acceleration and displacement and plot it. | 11 |

943 | When an object undergoes acceleration A. Its speed always increases B. Magnitude of velocity may remain constant C. It always falls towards the earth D. A force always acts on it | 11 |

944 | A rocket is moving in a gravity free space with a constant acceleration of ( 2 m s^{-2} ) along ( +x ) direction (see figure). The length of a chamber inside the rocket is ( 4 mathrm{m} ). A ball is thrown from the left end of the chamber in ( +x ) direction with a speed of ( 0.3 m s^{-1} ) relative to the rocket. At the same time, another ball is thrown in ( -x ) direction with a speed of ( 0.2 m s^{-1} ) from its right end relative to the rocket. The time in seconds when the two balls hit each other is | 11 |

945 | A car travels a distance of ( 60 k m ) in 10min. Find its speed in SI. ( mathbf{A} cdot 6 m s^{-1} ) B. ( 0.17 m s^{-1} ) ( mathrm{c} cdot 10 mathrm{ms}^{-1} ) D. ( 100 mathrm{ms}^{-1} ) | 11 |

946 | A ball released from a height falls ( 5 m ) in one second. In 4 seconds it falls through (Take ( left.g=10 m s^{-2}right) ) A ( .20 m ) B. ( 1.25 m ) ( c .40 m ) D. ( 80 m ) | 11 |

947 | A block is released from rest at the top of a frictionless inclined plane ( 16 mathrm{m} ) long. It reaches the bottom 4 sec later. ( A ) second block is projected up the plane from the bottom at the instant the block is released in such a way that it returns to the bottom simultaneously with first block. The acceleration of each block on the incline is A ( cdot 1 m / s^{2} ) в. ( 2 m / s^{2} ) ( mathbf{c} cdot 4 m / s^{2} ) D. ( 9.8 m / s^{2} ) | 11 |

948 | Illustration 2.14 A particle starts with uniform acceleration. Draw a graph taking the displacement(s) of the particle along y-axis and time (t) along x-axis. What is the curve known as? | 11 |

949 | How far was the automobile behind the truck initially? | 11 |

950 | 12. The speed of a body moving with uniform acceleration is u. This speed is doubled while covering a distance S. When it covers an additional distance S, its speed would become (a) u or (b) √5 un (c) u (d) iu | 11 |

951 | The correct equation of motion is : A ( . v=u+a S ) B. ( v=u t+a ) c. ( S=u t+frac{1}{2} a t ) D. ( v=u+a t ) | 11 |

952 | The shortest distance between the motorcyclist and the car is A . ( 10 m ) B. 20m ( c .30 m ) D. ( 40 m ) | 11 |

953 | An aeroplane drops a parachutist. After covering a distance of ( 40 mathrm{m} ), he opens the parachute and retards at ( 2 m s^{-1} . ) If he reaches the ground with a speed of ( 2 m s^{-1}, ) he remains in the air for about A . ( 16 s ) B. 3 c. ( 13 s ) D. 10 ( s ) | 11 |

954 | Find the distance covered by the bolt during the free fall. ( mathbf{A} cdot 1.3 m ) B. ( 1.6 m ) ( mathrm{c} cdot 13 mathrm{m} ) D. 16 ( m ) | 11 |

955 | A ball falls from a height of ( 10 mathrm{m} . ) On rebounding, it loses ( 30 % ) energy. The ball goes upto a height of ( A cdot 5 m ) B. 7 ( m ) ( c cdot 6 m ) D. 8 m | 11 |

956 | How are the states of rest and motion relative? | 11 |

957 | ( 1 mathrm{M}= ) LY A vehicle travells with speed of 18 kmph than vehicle travells – ………m distance in one second? Normal force applied on body of mass ( m^{prime} ) on slope of 0 is. | 11 |

958 | Distinguish between Uniform motion and non uniform motion. | 11 |

959 | A car states from rest and acquires a velocity of ( 54 k m / h r ) in 2 minutes. Find(i) acceleration and(ii) distance travelled by car in this time. Assume, that the motion of the car is uniform. | 11 |

960 | From the given v-t graph, it can be inferred that the object is A. in uniform motion B. at rest c. in non-uniform motion D. moving with uniform acceleration | 11 |

961 | A particle is moving in a straight line with constant acceleration ‘a’ and initial velocity ( v_{0} . ) Average velocity during first ( t ) second is A ( cdot v_{0}+frac{1}{2} mathrm{at} ) B. ( v_{0}+a t ) c. ( frac{v_{0}+a t}{2} ) D. ( frac{v_{0}}{2} ) | 11 |

962 | A car accelerates from rest at a constant rate ( alpha ) for some time after which it decelerates at a constant rate ( beta ) to come to rest. If the total time elapsed is ( t, ) the maximum velocity acquired by the car is given by ( ^{mathrm{A}} cdotleft(frac{alpha^{2}+beta^{2}}{alpha beta}right) t ) ( ^{text {В }} cdotleft(frac{alpha^{2}-beta^{2}}{alpha beta}right) ) ( ^{c cdot}left(frac{alpha+beta}{alpha beta}right) t ) ( ^{D cdot}left(frac{alpha beta}{alpha+beta}right) t ) | 11 |

963 | A particle experiences constant acceleration for 20 s after starting from rest. If it travels a distance of ( X_{1} ) in the first 10 s and a distance of ( X_{2} ), in the remaining 10 s, then which of the following is true? A. ( X_{1}=2 X_{2} ) В. ( X_{1}=X_{2} ) ( mathbf{c} cdot X_{1}=3 X_{2} ) D. ( 3 X_{1}=X_{2} ) | 11 |

964 | A plane has a takeoff speed of ( 88.3 m / s ) and requires ( 1365 m ) to reach that speed. Determine the acceleration of the plane. A ( cdot 3.86 m / s^{2} ) B. ( 2.86 m / s^{2} ) c. ( 2.8 m / s^{2} ) D. ( 2.6 mathrm{m} / mathrm{s}^{2} ) | 11 |

965 | A bicyclist covers 60 miles between ( 2 p m ) and ( 6 p m . ) What was his average speed? A. 15 mph в. 30 три c. 45 mph D. 60 mph E. Not enough information is given to be able to say | 11 |

966 | Two particles ( A ) and ( B ) start moving with velocities ( 20 m / s ) and ( 30 sqrt{2} m / s ) along ( x-a x i s ) and at an angle ( 45^{circ} ) with ( x- ) axis respectively in ( x y- ) plane from origin. The relative velocity of ( boldsymbol{B} ) w.r.t. ( boldsymbol{A} ) ( mathbf{A} cdot(10 hat{i}+30 hat{j}) m / s ) B. ( (30 hat{i}+10 hat{j}) m / s ) c. ( (30 hat{i}-20 sqrt{2} hat{j}) m / s ) D. ( (30 sqrt{2} hat{i}+10 sqrt{2} hat{j}) m / s ) | 11 |

967 | Nisha swims in a ( 90 mathrm{m} ) long pool. She covers ( 180 mathrm{m} ) in one minute by swimming from one end to the other and back along the same straight path. Find the average velocity of Nisha. ( A cdot O m / s ) B. 3 ( mathrm{m} / mathrm{s} ) ( c cdot 6 m / s ) D. None of these | 11 |

968 | A body in uniform motion covers A. different distances in equal intervals of time B. equal distances in different intervals of time C. equal distances in equal intervals of time D. different distances in different intervals of time | 11 |

969 | The velocity of a particle moving in the positive direction of the ( x ) axis varies as ( V=alpha sqrt{x} ) where ( alpha ) is a positive constant. Assuming that at the moment ( t=0 ) the particle was located at the point ( x=0, ) find acceleration at ( t=51 s ) ( A cdot alpha^{2} ) B . ( alpha^{2} / 2 ) ( c cdot a ) D. ( alpha^{3} ) | 11 |

970 | Find the average acceleration in first 20 s. | 11 |

971 | “14 incline. A device on the cart launches a ball, forcing the ball perpendicular to the incline, as shown above. Air resistance is negligible. Where will the ball land relative to the cart, and why? A. The ball will land in front of the cart, because the balls acceleration component parallel to the plane is greater than the carts acceleration component parallel to the plane B. The ball will land in front of the cart, because the ball has a greater magnitude of acceleration than the cart C. The ball will land in the cart, because both the ball and the cart have the component of acceleration parallel to the plane D. The ball will land in the cart, because both the ball and the cart have the same magnitude of acceleration | 11 |

972 | A velocity-time graph is shown below in figure (i) and (ii) find the acceleration and displacement A. ( 3.2 mathrm{m} mathrm{s}^{-2}, 40 mathrm{m} ; 5 mathrm{s} mathrm{m} s^{-2}, 60 mathrm{m} ) B. ( 4.2 mathrm{m} mathrm{s}^{-2}, 40 mathrm{m} ; 5 mathrm{s} mathrm{m} s^{-2}, 60 mathrm{m} ) c. ( 3.2 mathrm{m} s^{-2}, 50 mathrm{m} ; 5 mathrm{m} s^{-2}, 60 mathrm{m} ) D. ( 3.2 mathrm{m} mathrm{s}^{-2}, 40 mathrm{m} ; 6 mathrm{m} s^{-2}, 60 mathrm{m} ) | 11 |

973 | In which of the following cases is the displacement zero? A. When displacement and distance traveled are equal B. When the object is travelling in a straight line c. If there is a unique path between two points D. If an object starts mowing from point ( A ) and comes back to ( A ) an a circular path | 11 |

974 | The figure shown speed-time graph of a car Calculate displacement from the graph? | 11 |

975 | If a body executes motion with uniform acceleration, the velocity-time graph A. is a straight line inclined to the time axis B. is a straight line parallel to the time axis c. is a straight line perpendicular to the time axis D. cannot be plotted | 11 |

976 | What will be ratio of speed in first two seconds to the speed in next 4 s? A. ( sqrt{2}: 1 ) B. 3: ( c cdot 2: ) ( D cdot 1: 2 ) | 11 |

977 | Which type of motion of an object that moves in a straight line? A. Rectilinear motion B. Periodic motion c. circular motion D. None of the above | 11 |

978 | 5owa 6. A body is thrown up with a velocity 100 ms. It travels 5 m in the last second of its journey. If the same body is thrown up with a velocity 200 ms, how much distance (in metre) will it travel in the last second (g = 10 ms)? | 11 |

979 | Velocity of light is same in all media. (State True or False) A. True B. False c. Nither D. Either | 11 |

980 | The tro ends of a train moving with constant acceleration pass a certain point with velocities ( u ) and ( 3 u ). The velocity with which the middle point of the train passes the same point is A ( .2 u ) в. ( frac{3}{2} u ) c. ( sqrt{5} u ) D. ( sqrt{10} u ) | 11 |

981 | Speed of a body describing its motion is A. Direction B. State c. Type D. Rapidity | 11 |

982 | An aeroplane cruising in the air is an example of A. uniform motion B. non uniform motion c. either uniform or non uniform motion D. neither uniform nor non uniform motion | 11 |

983 | 18. A stone is dropped from the top of a tower of height h. After 1 s another stone is dropped from the balcony 20 m below the top. Both reach the bottom simultaneously. What is the value of h? Take g = 10 ms? a. 3125 m b. 312.5 m c. 31.25 m d. 25.31 m | 11 |

984 | From the displacement-time graph shown here, find the velocity of the body as it moves from ( A ) to ( B ) A. ( 0.8 mathrm{m} / mathrm{s} ) B. ( 1.2 mathrm{m} / mathrm{s} ) c. ( 10 mathrm{m} / mathrm{s} ) D. ( 20 mathrm{m} / mathrm{s} ) | 11 |

985 | On a two-lane road, car ( A ) is travelling with a speed of ( 36 k m h^{-1} . ) Two cars ( B ) and ( C ) approach car ( A ) in opposite directions with a speed of ( 54 k m h^{-1} ) each. At a certain instant, when the distance ( A B ) is equal to ( A C, ) both being ( 1 k m, B ) decides to overtake ( A ) before ( C ) does. What minimum acceleration of ( operatorname{car} B ) is required to avoid an accident? | 11 |

986 | Two trains of length ( 500 m ) and ( 1000 m ) moving in opposite direction with same speed crosses each other in 10 sec, find their speed: A. ( 75 mathrm{m} / mathrm{s} ) в. ( 150 m / s ) c. ( 100 mathrm{m} / mathrm{s} ) D. None of these | 11 |

987 | A particle is falling freely under gravity from rest. In first ( t ) second it covers distance ( x_{1} ) and in the next ( t ) second it covers distance ( x_{2}, ) then ( t ) is given by: A. ( sqrt{frac{x_{2}-x_{1}}{g}} ) в. ( sqrt{frac{x_{2}+x_{1}}{2 g}} ) c. ( sqrt{frac{left(x_{2}-x_{1}right)}{2 g}} ) D. ( sqrt{frac{left(x_{2}+x_{1}right)}{g}} ) | 11 |

988 | A person walks up a stalled escalator in ( mathbf{9 0} ) s. when standing on the same escalator, now moving, he is carried in ( 60 s . ) The time he would take to walk up the moving escalator will be A ( .27 s ) в. ( 72 s ) ( c cdot 18 s ) D. ( 36 s ) | 11 |

989 | A bus decreases its speed from 60 ( mathrm{km} / mathrm{hr} ) to ( 30 mathrm{km} / mathrm{hr} ) in 5 sec. Find the acceleration of the bus. | 11 |

990 | An object, moving with a speed ( 6.25 m s^{-1}, ) is decelerated at a rate given by ( frac{d v}{d t}=-2.5 sqrt{v} ) where ( v ) is intantaneous velocity. The time taken by the object to come to rest would be: A ( .2 s ) B. ( 4 s ) ( c cdot 8 s ) ( D ) | 11 |

991 | A ball is thrown vertically upwards. The positive direction is taken to be in upward direction. Which of the following is the correct | 11 |

992 | A ball is thrown vertically upwards from the ground. It crosses a point at the height of ( 25 m ) twice at an interval of 4 secs. The ball was thrown with the velocity of A. ( 20 mathrm{m} / mathrm{sec} ) B. ( 25 mathrm{m} / mathrm{sec} ) c. ( 30 m / )sec. D. ( 35 mathrm{m} / mathrm{sec} ) | 11 |

993 | A stone dropped from the top of a tower travels ( 15 mathrm{m} ) in the last second of its motion. If ( g=10 m s^{-2} ) then the time of fall is ( mathbf{A} cdot 2 s ) в. ( 2.5 s ) c. ( 5 s ) D. ( 3 s ) | 11 |

994 | A cylindrical vessel of cross-sectional area, ( s ), is left out in the rain in which water is falling vertically downward with the velocity, ( v, ) in the still air. When the wind starts blowing in North-East direction with velocity, ( v, ) the rate of collection of water in the vessel is A . ( v . s ) В. ( sqrt{2} v . s ) c. ( 2 v . s ) D. ( 2 sqrt{2} v . s ) | 11 |

995 | A ball is thrown upward with a velocity of ( 100 mathrm{m} / mathrm{s} ) it will reach the ground after :- A . 10 s B. 20 ( c cdot 5 s ) D. 40 s | 11 |

996 | 44. A police party is chasing a dacoit in a jeep which is moving at a constant speed y. The dacoit is on a motorcycle. When he is at a distance x from the jeep, he accelerates from rest at a constant rate. Which of the following relations is true if the police is able to catch the dacoit? a. v sox b. v2 s 2ox c. v? 2ax d. va 2 ax | 11 |

997 | Which of the following are relevant examples: A. uniform velocity – A car moving in a straight line B. variable velocity – A car moving along the periphery of a circle c. uniform retardation – When brakes are applied to a car moving with constant velocity. D. All the above | 11 |

998 | 9. The distance covered by the second body when they meet is a. 8 m b. 16 m c. 24 m d. 32 m | 11 |

999 | A particle moves from ( boldsymbol{A} ) to ( boldsymbol{B} ) diametrically opposite in a circle of radius ( 5 m ) with a velocity ( 10 m s^{-1} . ) Find the average acceleration. A . zero в. ( frac{40}{pi} m s^{-2} ) c. ( frac{20}{pi} m s^{-2} ) D. none | 11 |

1000 | Illustration 4.6 A train travels from city A to city B with a constant speed of 10 m s and returns back to city A with a nstant speed of 20 m s. Find its average speed during its entire journey. the tuo ition And B berm | 11 |

1001 | Multiple Correct Answers Type: Two bodies of masses ( m_{1} ) and ( m_{2} ) are dropped from heights ( h_{1} ) and ( h_{2} ) respectively. They reach the ground after time ( t_{1} ) and ( t_{2} ) and strike the ground with ( v_{1} ) and ( v_{2}, ) respectively. Choose the correct relations from the following. This question has multiple correct options A ( cdot frac{t_{1}}{t_{2}}=sqrt{frac{h_{1}}{h_{2}}} ) B. ( frac{t_{1}}{t_{2}}=sqrt{frac{h_{2}}{h_{1}}} ) c. ( frac{v_{1}}{v_{2}}=sqrt{frac{h_{1}}{h_{2}}} ) D. ( frac{v_{1}}{v_{2}}=frac{h_{2}}{h_{1}} ) | 11 |

1002 | A body of mass ( 5 k g ) is whirled in vertical circle by a string ( 1 mathrm{m} ) long. Calculate velocity at top of the circle for just looping the vertical loop. A. ( 3.1 m / s ) в. ( 7 m / s ) ( mathrm{c} cdot 9 mathrm{m} / mathrm{s} ) D. ( 7.3 mathrm{m} / mathrm{s} ) | 11 |

1003 | A body is released from the top of an inclined plane of inclination ( theta . ) It reaches the bottom with velocity ( v ). If the length remain same and the angle of inclination is doubled, what will be the velocity of the body on reaching the ground ( A cdot v ) B. ( 2 v ) C. ( [2 cos theta]^{1 / 2} v ) D. ( [2 sin theta]^{1 / 2} v ) | 11 |

1004 | Draw the v-t graph of uniform motion & The area under the v-t graph gives the displacement of the particle in a given time. A. True B. False | 11 |

1005 | A stone is dropped from a height of 1.25 ( mathrm{m} . ) If ( mathrm{g}=10 mathrm{m} mathrm{s}^{-2}, ) what is the ratio of the distances traveled by it during the first and the last second of its motion? A. cant say B. 1: 9 ( c cdot 1: 8 ) ( D cdot 2: 9 ) | 11 |

1006 | 12. Which of the following four statements are come (a) A body can have zero velocity and still be accelerated (b) A body can have a constant velocity and still have a varying speed (C) A body can have a constant speed and still have a varying velocity (d) The direction of the velocity of a body can change when its acceleration is constant | 11 |

1007 | The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant? (Take ( left.g=10 m s^{-2}right) ) | 11 |

1008 | The position of a particle along ( x ) -axis at time ( t ) is given by ( x=1+t-t^{2} ). the distance travelled by the particle on first 2 second is A. ( 1 mathrm{m} ) B. 2 ( m ) c. ( 2.5 mathrm{m} ) D. 3 ( m ) | 11 |

1009 | Can a body have acceleration without having velocity? | 11 |

1010 | To Leal lor = 45° d . Independent UIV 38. A body is thrown vertically upwa is thrown vertically upwards from A, the top of a tower. It reaches the ground in time tj. If it ches the ground in time t. If it is thrown vertically downwards from A with the same speed, it reach the ground in time t. If it is allowed to fall freely from A, then the time it takes to reach the ground is given by a. t-41 +t2 b. t-11-12 c. t= ſhta d. 1=1 / 1 20 TL | 11 |

1011 | 3. The following graph (Fig. 4.163) shows the variation of velocity of a rocket with time. Then the maximum height attained by the rocket is 1 (ms) 1000 — 120 10 110 a. 1.1 km c. 55 km Fig. 4.163 b. 5 km d. None of these anh citron in Fig 164 ofa | 11 |

1012 | A body of mass ( 0.4 mathrm{kg} ) moving with a constant speed of ( 10 mathrm{m} / mathrm{s} ) to the north is subject to a constant force of ( 8 mathrm{N} ) direction toward the south for 30 s. Take the instant the force is applied to be ( t=0, ) the position of the body at the time to be ( x=0, ) and predict its position at ( t=-5 s, 25 s, 100 s ) | 11 |

1013 | 7. A particle starts from rest. Its acceleration Acceleration (a) versus time (t) is as shown in Fig. A.52. The maximum speed of the 10 particle will be: (IIT JEE, 2004) um a. 110 ms- b. 55 ms Fig. A.52 c. 550 ms- d. 660 ms- he sec | 11 |

1014 | A bird flies with a speed of ( 10 mathrm{km} / mathrm{h} ) and a car moves with a uniform speed of ( 8 k m / h . ) Both start from ( B ) toward ( boldsymbol{A}(boldsymbol{B} boldsymbol{A}=mathbf{4 0} boldsymbol{k} boldsymbol{m}) ) at the same instant. The bird having reached ( A ), flies back immediately to meet the approaching car. As soon as it reaches the car, it flies back to ( A ). The bird repeats this till both the car and the bird reach ( boldsymbol{A} ) simultaneously. Find the total distance flown by the bird. | 11 |

1015 | A car travels the first half of the distance between two places with a speed of ( 60 k m p . ) The speed of the car for the rest of the distance so that its average speed becomes ( 90 k m p h ) A. ( 60 mathrm{kmph} ) в. ( 90 mathrm{kmph} ) c. ( 120 mathrm{kmph} ) D. ( 180 mathrm{kmph} ) | 11 |

1016 | A ball is dropped from the top of a building. The ball takes 0.5 s to fall past the length of a window, the top of the window being at a distance of ( 3 mathrm{m} ) from the top of the building. If the speed of the ball at the top and the bottom of the window are ( V_{T} ) and ( V_{B} ) respectively, then ( left(boldsymbol{g}=mathbf{9 . 8} boldsymbol{m} / boldsymbol{s e c}^{2}right) ) A ( cdot V_{T}+V_{B}=12 m s^{-1} ) в. ( V_{T}-V_{B}=4.9 mathrm{ms}^{-1} ) c. ( V_{B} V_{T}=1 mathrm{ms}^{-1} ) D. ( frac{V_{B}}{V_{T}}=1 mathrm{ms}^{-1} ) | 11 |

1017 | Find the average velocity of the train A . 0 в. ( 80 k m p h ) c. ( 40 k m p h ) D. 20kmph | 11 |

1018 | When the distance covered by an object is directly proportional to the time interval, it is said to travel with: A. Constant speed B. Zero velocity c. Constant acceleration D. Uniform velocity | 11 |

1019 | On a two lane road a car A is travelling with a speed of ( v=10 m s^{-1} . ) Two cars ( B ) and ( C ) approach car ( A ) in opposite directions with a speed ( u=15 m s^{-1} . ) At a certain instant when the ( mathrm{B} ) and ( mathrm{C} ) are equidistant from A each being I =1000 ( mathrm{m}, mathrm{B} ) decides to overtake ( mathrm{A} ) before ( mathrm{C} ) does. What minimum acceleration of car ( mathrm{B} ) is required to avoid an accident with c: | 11 |

1020 | A ball is dropped from a bridge ( 122.5 mathrm{m} ) above a river. After 2 s, a second ball is thrown down after it. What must its initial velocity be so that both hit the water at the same time? A. ( 49 mathrm{m} / mathrm{s} ) B. ( 55.5 mathrm{m} / mathrm{s} ) c. ( 26.1 mathrm{m} / mathrm{s} ) D. ( 9.8 mathrm{m} / mathrm{s} ) | 11 |

1021 | The acceleration of a particle is given by the ( a=X ) where ( X ) is a constant. if the particle starts at origin from rest. its distance from origin after time t is given by. | 11 |

1022 | The accelerated motion of a body can occur: This question has multiple correct options A. Due to change in its speed only. B. Due to change in direction of motion only. C. Due to change in both speed and direction of motion. D. Due to constancy of velocity. | 11 |

1023 | JWLS 7. If the velocity of a particle is given by v = (180 – 16x)/2 m/s, then its acceleration will be (a) Zero (b) 8 m/s (c) -8 m/s2 (d) 4 m/s2 | 11 |

1024 | A dancer demonstrating dance steps along a straight line. The position time ( operatorname{graph}(x-t) ) is as shown in the given figure. Find the average speed for the dance step depicted by CD. A. ( 1 mathrm{ms}^{-1} ) B. ( 2.66 mathrm{ms}^{-1} ) ( mathbf{c} cdot 3 m s^{-1} ) D. ( 0.89 mathrm{ms}^{-1} ) | 11 |

1025 | A ball thrown in vertical upward direction attains maximum height of 16 ( m ). At what height would its velocity be half of its initial velocity? | 11 |

1026 | A particle starts from the origin at ( t=0 ) and moves in the ( x ) -y plane which constant acceleration ‘a’ in the ( y ) direction. An equation of motion is ( y= ) ( b x^{2} . ) The ( x ) -components of its velocity is? A. Variable B. ( sqrt{frac{2 a}{b}} ) c. ( frac{a}{2 b} ) D. ( sqrt{frac{a}{2 b}} ) | 11 |

1027 | A particular rocket is propelled such that its velocity increases as a function of time according to ( v(t)=A t^{frac{1}{2}}, ) where ( A ) is a constant. Which of the following represents the correct acceleration function? A ( cdot a(t)=frac{2}{3} A t^{3 / 2} ) B ( cdot a(t)=2 A t^{3 / 2} ) c. ( a(t)=frac{1}{2} A t^{-1 / 2} ) D. ( a(t)=frac{-1}{2} A t^{-1 / 2} ) E. None of the above | 11 |

1028 | A force acts on a ( 30 g m ) particle in such a way that the position of the particle as a function of time is given by ( boldsymbol{x}=mathbf{3} boldsymbol{t}- ) ( 4 t^{2}+t^{3}, ) where ( x ) is in metres and ( t ) is in seconds. The work done on the particle during the first 4 second is A. ( 3.84 J ) в. ( 1.68 J ) c. ( 5.28 J ) D. ( 5.41 J ) | 11 |

1029 | The displacement ( x ) of a particle moving in one dimension under constant acceleration is related to the time ( t ) as ( t=sqrt{x}+3 . ) The displacement of the particle when its velocity is zero is A . zero B. 3 units c. ( sqrt{3} ) units D. 9 units | 11 |

1030 | A train A which is 120 ( mathrm{m} ) long is running with velocity ( 20 mathrm{m} / mathrm{s} ) while train ( mathrm{B} ) which is ( 130 mathrm{m} ) long is running in opposite direction with velocity ( 30 mathrm{m} / mathrm{s} ). What is the time taken by train ( mathrm{B} ) to cross the ( operatorname{train} A ? ) A. 5 s B. 25 s ( c cdot 10 s ) D. 100 s | 11 |

1031 | A rubber ball dropped from a certain height is an example of A. Uniform acceleration B. Uniform retardation C. Uniform speed D. Non of these | 11 |

1032 | For a particle moving along X-axis if acceleration(constant) is acting along – ve X-axis, then match the entries of Column-I with entries of Column II Column I Column II A. Initial P. Particle may move in +ve ( x ) velocity> B. Initial Q.Particle may move in +ve x velocityく ( quad ) direction with decreasing speed R. Particle may move in-ve C. ( x>0 quad ) direction with increasing speed S. Particle may move in -ve X D.X ( Q, R ; B rightarrow Q, R ; C->Q, R ; D rightarrow R ) B. A -> Q; B -> Q, R; C-> R; D -> Q, R C. ( A ) -> ( Q, R ; B ) -> ( R ; C ) -> ( Q, R ; D rightarrow Q, R ) D. A -> Q, R; B -> R; C->R; D -> R | 11 |

1033 | A rocket of mass ( 5700 mathrm{kg} ) ejects mass at a constant rate of ( 15 mathrm{kg} / mathrm{s} ) with constant speed of ( 12 mathrm{km} / mathrm{s} ). The acceleration of the rocket 1 minute after the blast is ( left(boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2}right) ) A. ( 34.9 mathrm{m} / mathrm{s}^{2} ) В. ( 27.5 mathrm{m} / mathrm{s}^{2} ) ( mathbf{c} cdot 3.50 mathrm{m} / mathrm{s}^{2} ) D. ( 13.5 mathrm{m} / mathrm{s}^{2} ) | 11 |

1034 | A ball is thrown vertically up. If the ball reached at maximum height in ( 3 s ) Assume air resistance is negligible. The maximum height of the ball is most nearly : A . ( 10 m ) B. ( 15 mathrm{m} ) c. ( 30 m ) D. ( 45 m ) E . ( 60 m ) | 11 |

1035 | The mass of the rocket is ( 500 mathrm{Kg} ) and relative velocity of gas ejected out is ( 950 mathrm{m} / mathrm{s} ) with respect to rocket. determine the rate burning of the fuel in order to given the acceleration of the rocket is ( 20 m / s^{2} ? ) | 11 |

1036 | A ship is steaming towards east with speed of ( 8 m / s . A ) women runs across the deck at a speed of ( 6 m s^{-1} ) towards north. What is the velocity of the women relative to the sea? | 11 |

1037 | A particle is fired with velocity ( u ) making angle ( theta ) with the horizontal. what is the change in velocity when it is at the highest point? A ( . u cos theta ) B. c. ( u sin theta ) D. ( (u cos theta-u) ) | 11 |

1038 | Derive the following equation for a uniformly accelerated motion, where the symbols have their usual meanings: ( s=u t+frac{1}{2} a t^{2} ) | 11 |

1039 | The displacement of a particle varies with time as ( boldsymbol{x}=boldsymbol{a} e^{-boldsymbol{alpha} boldsymbol{t}}+boldsymbol{b} boldsymbol{e}^{boldsymbol{beta} boldsymbol{t}} ) where ( a, alpha, b, beta ) are positive constants. The velocity of the particle will A. be independent of ( alpha ) and ( beta ) B. drop to zero when ( alpha=beta ) c. go on decreasing with time D. go on increasing with time | 11 |

1040 | The displacement y of a particle executing periodic motion is given by ( y=4 cos ^{2}left(frac{1}{2}right) t sin (1000 t) . ) This expression may be considered as a result of the superposition of A. Two waves B. Three waves c. Four waves D. Five waves | 11 |

1041 | A block is moving down a smooth inclined plane staring from rest at time ( t=0 ) let ( S_{n} ) be the distance travel by the block in the interval ( t=n-1 ) to ( t=n ). The ratio ( frac{boldsymbol{S}_{boldsymbol{n}}}{boldsymbol{S}_{boldsymbol{n}+1}} boldsymbol{i} boldsymbol{s} ) | 11 |

1042 | Sl unit for the average velocity is ( A cdot m / s ) B. km/s ( mathrm{c} cdot mathrm{cm} / mathrm{s} ) D. none of these | 11 |

1043 | An iron ball and a wooden ball are released from a height in vacuum. The speed of the iron ball would be: A. Same to the speed of the wooden ball B. More than the speed of the wooden ball c. Lesser than the speed of the wooden ball D. None | 11 |

1044 | A car initially travelling eastwards turns north by travelling in a quarter circular path of radius R metres at uniform speed as shown in figure. The car completes the turn in T second. (a) What is the acceleration of the car when it is at ( mathrm{B} ) located at an angle of ( 37^{circ} ) Express your answers in terms of unit vectors ( hat{i} ) and ( hat{j} ) (b) The magnitude of car’s average acceleration during T second period. | 11 |

1045 | A ball thrown by a boy from a roof-top has A. Curvilinear B. oscillatory motion c. Periodic motion D. Linear motion | 11 |

1046 | A cart travels a distance d on a straight road in two hours and then returns to the starting point in next three hours. Its average speed is: A ( cdot frac{d}{5} ) в. ( frac{2 d}{5} ) c. ( frac{d}{2}+frac{d}{3} ) D. none of these | 11 |

1047 | A ( 150 m ) long train is moving north at a speed of ( 20 m / s . A ) bird flying south at a speed of ( 5 m / s ) crosses the train. What is the time taken by the bird to cross the train? A . ( 30 s ) в. ( 15 s ) ( c cdot 6 s ) D. ( 3 s ) | 11 |

1048 | The diagram shows the speed-time graph for a car. Which area represents the distance traveled while the car is accelerating? ( A cdot X ) B. ( X+Y ) ( c . Y ) D. ( Y-X ) | 11 |

1049 | When brakes are applied to a bus, the retardation produced is ( 25 mathrm{cm} mathrm{s}^{-2} ) and the bus takes 20 s to stop. Calculate the initial velocity of the bus. A ( .500 mathrm{m} mathrm{s}^{-1} ) B. ( 5 mathrm{cm} ) s ( ^{-1} ) c. ( 5 m s^{-1} ) D. ( 12.5 mathrm{m} mathrm{s}^{-1} ) | 11 |

1050 | A scooter weighing ( 150 mathrm{kg} ) together with its rider moving at ( 36 k m / h r ) is to take a turn of radius ( 30 mathrm{m} ). What force on the scooter towards the center is needed to make the turn possible? Who or what provides this? | 11 |

1051 | 23. The balls are released from the top of a tower of height H at regular interval of time. When first ball reaches at the ground, the nth ball is to be just released and th ball is at some distance ‘h’ from top of the tower. Find the value of h. | 11 |

1052 | The acceleration of a particle is increasing linearly with time ( t ) as ( b t ). The particle starts from the origin with an initial velocity ( v_{0} . ) The distance travelled by the particle in time ( t ) will be: A ( cdot v_{0} t+frac{1}{6} b t^{3} ) B. ( v_{0} t+frac{1}{3} b t^{3} ) c. ( v_{0} t+frac{1}{3} b t^{2} ) D. ( v_{0} t+frac{1}{2} b t^{2} ) | 11 |

1053 | A body loses half of its velocity on penetrating ( 6 mathrm{cm} ) in a wooden block. How much will it penetrate more before coming to rest? A. ( 1 ~ c m ) B. 2 cm ( mathrm{c} .3 mathrm{cm} ) D. ( 4 mathrm{cm} ) | 11 |

1054 | A man slides down a snow covered hill along a curved path and falls ( 20 m ) below his initial position. The velocity in ( boldsymbol{m} / boldsymbol{s e c}, ) with which he finally strikes the ground is ( ?left(boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s e c}^{2}right) ) A . 20 в. 400 ( c cdot 200 ) D. 40 | 11 |

1055 | For the velocity ( (v) ) -time ( (t) ) graphs shown in figure, the total distance covered by the particle in the last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds? ( A cdot 1 / 8 ) B. ( 1 / 6 ) ( c cdot 1 / 4 ) D. ( 1 / 2 ) | 11 |

1056 | Illustration 2.38 The velocity v of a particle is given by the equation v = 61-6r”, where v is in m s’, t is the instant of time in seconds while 6 and 6 are suitable dimensional constants. At what values of t will the velocity be maximum and minimum? Determine these maximum and minimum values of the velocity. | 11 |

1057 | A car is travelling at ( 30 mathrm{m} / mathrm{s} ) on a circular road of radius ( 300 mathrm{m} ). It is increasing its speed at the rate of ( 4 m / s^{2} . ) The acceleration of the car is A ( cdot 3 m / s^{2} ) B. ( 4 m / s^{2} ) c. ( 5 m / s^{2} ) D. ( 1 mathrm{m} / mathrm{s}^{2} ) | 11 |

1058 | Water drops fall at regular intervals from a tap ( 5 mathrm{m} ) above ground. The ( 3 mathrm{rd} ) drop is leaving tap when first drop reaches ground. The distance of 2 nd drop at the instant is A . ( 2.5 mathrm{m} ) B. 3.75 m ( c cdot 4 m ) D. 1.25 ( m ) | 11 |

1059 | Assertion A body is dropped form height ( h ) and another body is thrown vertically upwards with a speed ( sqrt{boldsymbol{g} boldsymbol{h}} ). They meet at height ( frac{boldsymbol{h}}{mathbf{2}} ) Reason The time taken by both the blocks in reaching the height ( frac{h}{2} ) is same. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect. D. Both Assertion is incorrect but Reason is correct | 11 |

1060 | Equation of motion of a body is ( frac{boldsymbol{d v}}{boldsymbol{d t}}= ) ( 6-3 v, ) where ( v ) is the velocity in ( m s^{-1} ) and ( t ) is the time in second. Assuming particle at rest initially. Then This question has multiple correct options A. velocity of the body when its acceleration is zero is ( 2 m s^{-1} ) B. initial acceleration of the body is ( 6 m / s^{2} ) c. the velocity of the body when the acceleration is half the initial value is ( 1 mathrm{m} / mathrm{s} ) D. the body has a uniform acceleration | 11 |

1061 | A body has an acceleration of ( -4 m s^{-2} ) Then its retardation is equal to : A ( .-4 m s^{2} ) B. ( 4 m s^{-2} ) c. zero D. Nothing can be decided | 11 |

1062 | The average speed of an object is defined to be A. One half of the sum of the maximum and the minimum speeds B. Distance it travels multiplied by the time it takes c. The distance it travels divided by the time it takes D. The speed determined over an infinitesimally small time interval E. The value of the speed at the midpoint of the time interval | 11 |

1063 | At a metro station, a girl walks up a stationary escalator in time ( t_{1} ). If she remains stationary on the escalator, then the escalator take her up in time ( t_{2} ) The time taken by her to walk up on the moving escalator will be A ( cdot frac{left(t_{1}+t_{2}right)}{2} ) В. ( frac{t_{1} t_{2}}{left(t_{2}-t_{1}right)} ) c. ( frac{t_{1} t_{2}}{left(t_{2}+t_{1}right)} ) D. ( t_{1}-t_{2} ) | 11 |

1064 | A body starts from rest and is uniformly accelerated. for 30 s. The distance travelled in the first 10 s is ( x_{1}, ) next 10 s is ( x_{2} ) and the last 10 s is ( x_{3} . ) Then ( x_{1} ) ( x_{2}: x_{3} ) is the same as A .1: 2: 4 B. 1: 2: 5 ( c cdot 1: 3: 5 ) ( D cdot 1: 3: 9 ) | 11 |

1065 | its speed? | 11 |

1066 | topp “ | 11 |

1067 | Illustration 4.14 Two trains P and Q are moving along parallel tracks with same uniform speed of 20 ms. The driver of train P decides to overtake trainQ and accelerates his train by 1 ms. After 50 s, train P crosses the engine of train Q. Find out what was the distance between the two trains initially, provided the length of each train is 400 m. | 11 |

1068 | A man throws balls into the air one after another. He always throws a ball when the previous one thrown has just reached the highest point. The height to which each ball rises, if he throws 5 balls per second is ( left(boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2}right) ) A . ( 0.31 mathrm{m} ) B. 0.20 ( m ) c. ( 0.42 mathrm{m} ) D. ( 0.53 mathrm{m} ) | 11 |

1069 | A radio-controlled toy car travels along a straight line for a time of ( 15 s ). The variation with time ( t ) of the velocity v of the car is shown. What is the average velocity of the toy | 11 |

1070 | When ( C ) passes ( A ), where is B? | 11 |

1071 | If an iron ball and a wooden ball of the same radius are released from a height ( h ) in vaccum then time taken by both of them to reach ground will be:- A. unequal B. exactly equal c. roughly equal D. zero | 11 |

1072 | 15. Refer to the graph in figure. Match the following Column Column II (p) Has v > 0 and a > 0 throughout (9) has x >0 throughout and has a point with v=0 and appoint with a = 0 (r) has a point with zero displacement for t > 0 (s) has v 0 | 11 |

1073 | Starting from rest, a fan takes ten seconds to attain the maximum speed of 600 rp (revolutions per minute) Assuming constant acceleration, find the time taken by the fan in attaining half the maximum speed. | 11 |

1074 | Give one example each of the following types of motion: (a) Linear (b) Translation (c) Circular (d) Periodic | 11 |

1075 | A body is projected vertically upwards with a velocity u. After 1 and 7 s, it crosses a reference point at a height ( h ) What is the value of u? A ( .40 mathrm{m} / mathrm{s} ) B. ( 50 mathrm{m} / mathrm{s} ) c. ( 30 mathrm{m} / mathrm{s} ) D. ( 20 mathrm{m} / mathrm{s} ) | 11 |

1076 | A freely falling body crosses points ( P, Q ) and ( R ) with velocities ( v, 2 v ) and ( 3 v ) respectively. Find the ratio of the distances ( P Q ) to ( Q R ) | 11 |

1077 | Two particles ( A ) and ( B ) are shot from the same height at ( t=0 ) in opposite directions with horizontal velocities ( 3 m / s ) and ( 4 m / s ) respectively. If they are subjected to the same vertical acceleration due to gravity ( (boldsymbol{g}= ) ( 9.8 m / s^{2} ) ). the distance between them when their velocity vectors become mutually perpendicular is: A . ( 1.059 m ) в. ( 1.412 m ) c. ( 2.474 m ) D. ( 9.8 m ) | 11 |

1078 | A car of mas sm starts moving so that its velocity varies according to the law ( boldsymbol{v}=boldsymbol{beta} sqrt{boldsymbol{s}} ) where ( boldsymbol{beta} ) is a constant, ands is the distance covered. The total work performed by all the forces which are acting on the car during the first t seconds after the beginning of motion is A ( cdot m beta^{4} t^{2} / 8 ) B ( cdot m beta^{2} t^{4} / 8 ) ( mathbf{c} cdot m beta^{4} t^{2} / 4 ) D ( cdot m beta^{2} t^{4} / 4 ) | 11 |

1079 | A car is moving with a velocity of ( 10 mathrm{m} / mathrm{s} ) The driver sees a wall ahead of him and applied brakes. The car stops after covering ( 10 m ) distance. If the car was moving with a speed pf ( 20 m s^{-1}, ) it would have stopped in ( 30 m ) distance. The reaction of the driver is A . ( 0.5 s ) B. ( 0.6 s ) ( c .0 .7 s ) D. ( 1 s ) | 11 |

1080 | A ( 5 ~ k g ) stone falls from a height of ( 1000 m ) and penetrates ( 2 m ) in a layer of sand. The time of penetration is A . 14.285 s B. 0.0285 s c. ( 7.146 mathrm{s} ) D. 0.285 s | 11 |

1081 | Suppose you are riding a bike with a speed of ( 10 m s^{-1} ) due east relative to a person A who is walking on the ground towards east. If your friend B walking on the ground due west measures your speed as ( 15 m s^{-1}, ) find the relative velocity between two reference frames and B. | 11 |

1082 | The rate of change of velocity gives acceleration. If the acceleration of a particle is ( a=3 t^{2} m s^{-2} ) and velocity of particle at ( t=0 ) is ( 1 m s^{-1}, ) then velocity of the particle at ( t=2 s ) will be A ( cdot 12 m s^{-1} ) B. ( 13 m s^{-1} ) ( mathrm{c} cdot 11 mathrm{ms}^{-1} ) ( mathbf{D} cdot 9 m s^{-1} ) | 11 |

1083 | In the equation of motion, ( boldsymbol{S}=boldsymbol{u} boldsymbol{t}+ ) ( 1 / 2 a t^{2}, ) S stands for A. displacement in t seconds B. maximum height reached C. displacement in the ( t^{t h} ) second D. none of these | 11 |

1084 | 4. The distance covered in the nth second is proportional to a. n bon c. 2n-1 d. 2n² – 1 | 11 |

1085 | Acceleration-time graph of a particle moving in a straight line is shown in Fig. ( 3.19 . ) Velocity of particle at time ( t=0 ) is ( 2 mathrm{m} / mathrm{s} ). Find velocity at the end of fourth second. | 11 |

1086 | A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball in ( T / 3 ) seconds? A. ( h / 9 ) metres from the ground B. ( 7 h / 9 m ) from the ground c. ( 8 h / 9 ) metres from the ground D. ( 17 h / 18 m ) from the ground | 11 |

1087 | A particle starts from rest, moves with constant acceleration for ( 15 s ). If it covers ( s_{1} ) distance in first ( 5 s ) their distance ( s_{2} ) in next ( 10 s, ) then find the relation between ( s_{1} ) and ( s_{2} ) | 11 |

1088 | Water drops fall from a tap on to the floor ( 5.0 mathrm{m} ) below at regular intervals of time. The first drop strikes the floor when the fifth drop beings to fall. The height at which the third drop will be from ground, at the instant when the first drop strikes the ground is (Take ( boldsymbol{g}=mathbf{1 0 m s}^{-2} mathbf{j} ) A . ( 1.25 m ) B. ( 2.15 m ) c. ( 2.75 m ) D. ( 3.75 m ) | 11 |

1089 | From the top of a tower, a particle is thrown vertically downwards with a velocity of ( 10 mathrm{m} / mathrm{s} ). The ratio of the distances, covered by it in the ( 3^{r d} ) and ( 2^{n d} ) seconds of the motion is (Take ( g= ) ( left.mathbf{1 0 m} / boldsymbol{s}^{2}right) ) A . 5: 7 B. 7: 5 ( c cdot 3: 6 ) D. 6: 3 | 11 |

1090 | Whenever an object moves with a constant speed, its distance – time graph is a A. Parabola B. Straight line, perpendicular to the time axis c. straight line, parallel to the time axis D. Straight line passing through origin | 11 |

1091 | A block of mass ( 10 k g ) is pulled by force ( F=100 N . ) It covers a distance ( 500 m ) in 10 sec. From initial point. This motion is observed by three observers ( A, B ) and C as shown in figure. Find out work done by the force ( F ) in ( 10 s ) | 11 |

1092 | Assertion If the velocity time graph of a body moving in a straight line is as shown in the figure, the acceleration of the body must be constant. Reason The rate of change of quantity which is constant is always zero. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

1093 | A person in an elevator accelerating upwards with an acceleration of ( 2 m s^{-2} ) tosses a coin vertically upwards with a speed of ( 20 m s^{-1} ). After how much time will the coin fall back into his hand? (Take ( g=10 m s^{-2} ) A ( cdot frac{5}{3} s ) в. ( frac{3}{10} s ) c. ( frac{10}{3} s ) D. ( frac{3}{5} s ) | 11 |

1094 | A swimmer is capable of swimming ( 1.65 m s^{-1} ) in still water. If she swims directly across a ( 180 mathrm{m} ) wide river whose current is ( 0.85 mathrm{m} / mathrm{s} ), how far downstream(from a point opposite her standing point) will she reach? ( mathbf{A} .92 .7 mathrm{m} ) в. ( 40 mathrm{m} ) c. 48 m D. 20 | 11 |

1095 | A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? A . 120 metres B. 180 metres c. 324 metres D. 150 metres | 11 |

1096 | Relation to another coordinate system ( mathbf{S}_{2} ) (denoted by double primes) having an acceleration ( -overline{mathbf{g}}, ) and coincident with the original coordinate system ( mathbf{S}_{0} ) at ( mathbf{t}=mathbf{0}, ) the equation of the object becomes A ( cdot 0=-mathrm{m} overline{mathrm{g}}-mathrm{b} overline{mathrm{v}}^{prime prime} ) B. ( mleft(frac{d vec{v}^{prime prime}}{d t}right)=0 ) ( ^{mathrm{c}} mleft(frac{d overrightarrow{v^{prime prime}}}{d t}right)=-b v^{vec{eta}}-b g t ) ( ^{mathrm{D}} cdot_{m}left(frac{d overrightarrow{v^{prime prime}}}{d t}right)=-b v^{vec{eta}}+b g t ) | 11 |

1097 | Prove that the distances traversed during equal intervals of time by a body falling from rest, stand to one another in the same ratio as the odd numbers beginning from unity [namely 1: 3: 5: ( 7 ldots ldots . .] ) | 11 |

1098 | Water drops fall at regular intervals from a tap ( 5 mathrm{m} ) above the ground. How far above the ground is the second drop at that instant when the 3 rd drop left the tap and ( 1_{s t} ) drop reaches the ground. ( left(g=10 m / s^{2}right) ) A . ( 1.25 mathrm{m} ) B. 2.50 ( mathrm{m} ) c. ( 3.75 mathrm{m} ) D. 4.00 ( m ) | 11 |

1099 | The muzzle velocity of a certain rifle is ( 330 m s^{-1} . ) At the end of one second, a bullet fired straight up into the air will travel a distance of A ( cdot(330-4.9) m ) B. ( 330 m ) c. ( (330+4.9) m ) D. ( (330-9.8) m ) | 11 |

1100 | The function which represents the height, ( h(t), ) of a ball ( t ) seconds after it is kicked into the air is ( boldsymbol{h}(boldsymbol{t})=-mathbf{1 6} boldsymbol{t}^{2}+boldsymbol{6} boldsymbol{4} boldsymbol{t} ) What does ( t ) represent if ( h(t) ) is zero? A time that ball reaches ( frac{3^{t h}}{4} ) its maximum height B. TIme that ball reaches one- – half its maximum height c. The time at which the ball is on the ground D. Time that ball reaches its maximum height | 11 |

1101 | A bus travelling the first one third distance at a speed of ( 10 k m / h ), the next one third at20km/ ( h ) and the last one third at ( 60 k m / h . ) The average speed of the bus is ( mathbf{A} cdot 9 k m / h ) в. ( 16 k m / h ) c. ( 18 k m / h ) D. ( 48 k m / h ) | 11 |

1102 | A body is thrown vertically upwards from the top ( A ) of a tower. It reaches the ground in ( t_{1} ) seconds. If it thrown vertically downwards from A with same speed it reaches the ground in ( t_{2} ) seconds. If it is allowed to fall freely from ( A, ) then the time it takes to reach the ground is given by: A ( cdot t=frac{t_{1}+t_{2}}{2} ) B. ( t=sqrt{frac{t_{1}^{2}+t_{2}^{2}}{2}} ) C ( . t=sqrt{t_{1} t_{2}} ) D. ( t=t_{1}+t_{2} ) | 11 |

1103 | A ball falls off a table and reaches the ground in 1 s. Assuming ( g=10 m / s^{2} ) calculate its speed on reaching the ground and the height of table. | 11 |

1104 | Which of the following motion is/are periodic as well as oscillatory motion? (i) (ii) (iii) (iv) A. (i), (ii) and (iii) B . (ii) only c. (i), (iii) and (iv) D. (iii) only | 11 |

1105 | Which of the following functions of time represent (a) periodic and (b) nonperiodic motion? Give the period for each case of periodic motion. ( [omega ) is any positive constant]. A ( cdot frac{2 pi}{omega} ) B. ( sin omega t+cos 2 omega t+sin 4 omega t ) ( c cdot e^{-omega t} ) ( mathbf{D} cdot log (omega t) ) | 11 |

1106 | The velocity-time graphs of a car and a scooter are shown in the figure. (i) the difference between the distance travelled by the car and the scooter in ( 15 s ) and (ii) the time at which the car will catch up with the scooter are, respectively A ( .337 .5 m ) and ( 25 s ) B. ( 225.5 m ) and ( 10 s ) c. ( 112.5 m ) and ( 22.5 s ) D. ( 11.2 .5 m ) and ( 15 s ) | 11 |

1107 | The velocity of a particle moving with constant acceleration at an instant ( t_{0} ) is ( 10 m / s . ) After 5 seconds of that instant the velocity of the particle is ( 20 m / s ) The velocity at 3 second before ( t_{0} ) is: A. ( 8 mathrm{m} / mathrm{s} ) B. ( 6 m / s ) c. ( 4 m / s ) D. ( 7 mathrm{m} / mathrm{s} ) | 11 |

1108 | A body moves along curved path of a quarter circle. The ratio of magntude of displacement to distance is A ( cdot frac{pi}{2 sqrt{2}} ) B. ( c cdot frac{2 sqrt{2}}{pi} ) D. ( frac{3 pi}{2 sqrt{2}} ) | 11 |

1109 | Assertion Two bodies of unequal masses ( m_{1} ) and ( boldsymbol{m}_{2} ) are dropped from the same height. If the resistance force offered by air to the motion of both bodies is the same, the bodies will reach the earth at the same time. Reason For equal air resistance, acceleration of fall of masses ( m_{1} ) and ( m_{2} ) will be different. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion is incorrect but Reason is correct | 11 |

1110 | The distance between two rails of railway track is ( 1.6 mathrm{m} ) along a curve of radius ( 800 mathrm{m} . ) The outer rail is raised above the inner rail by ( 10 mathrm{cm} . ) With what maximum speed can a train be safely driven along the curve A . 22.2 ( mathrm{m} / mathrm{sec} ) B. 12.2 ( mathrm{m} / mathrm{sec} ) c. ( 42.2 mathrm{m} / mathrm{sec} ) D. ( 90.9 mathrm{m} / mathrm{sec} ) | 11 |

1111 | A ball falls from a height of ( 5 mathrm{m} ) and strikes the roof of a lift. If at the time of the collision, lift is moving in the upward direction with a velocity of 1 ( mathrm{m} / mathrm{s}, ) then the velocity with which the ball rebounds after the collision will be ( (e=1): ) A ( .11 mathrm{m} / mathrm{s} ) B. ( 12 mathrm{m} / mathrm{s} ) c. ( 13 mathrm{m} / mathrm{s} ) D. ( 10 mathrm{m} / mathrm{s} ) | 11 |

1112 | The velocity acquired by a body moving with uniform acceleration is ( 30 m / s ) in 2 seconds and ( 60 m / s ) in 4 seconds. The initial velocity is: A. Zero B. ( 2 m / s ) c. ( 4 m / s ) D. ( 10 mathrm{m} / mathrm{s} ) | 11 |

1113 | The system shown in figure is in equilibrium. The string between ( A ) and ( B ) is cut. The acceleration of block ( B ) will be? ( A ) B. ( g / 3 ) ( c ) D. None of these | 11 |

1114 | Give reasons why Distance and displacement are different concepts. | 11 |

1115 | Ram moves in east direction at a speed of ( 6 m / s ) and Shyam moves ( 30^{circ} ) east of north at a speed of ( 6 m / s ). The magnitude of their relative velocity is A. ( 3 m / s ) в. ( 6 m / s ) c. ( 6 sqrt{3} mathrm{m} / mathrm{s} ) D. ( 6 sqrt{2} mathrm{m} / mathrm{s} ) | 11 |

1116 | An object is moving with uniform deceleration. Which statement describes its motion? A. Its rate of change of speed of decreasing B. Its speed is constant c. Its speed is decreasing D. Its speed in increasing | 11 |

1117 | A block of mass ( m ) is pushed against a spring of spring constant ( k, ) fixed to one end of the wall. The natural length of the spring is / and it is compressed to half its natural length when the block is released. The velocity of the block as a function of its distance ( x ) from the wall is ( sqrt[A cdot]{frac{k}{m}left(frac{l^{2}}{4}-(l-x)^{2}right)} ) B. ( sqrt{frac{k}{m}(l-x)^{2}} ) c. ( sqrt{frac{k}{m}left(frac{l^{2}}{4}+(l+2 x)^{2}right.}) ) D. ( sqrt{frac{k}{m}(l+x)^{2}} ) | 11 |

1118 | A body is tied at the end of a string of length ” and rotated in a vertical circle, The suring is just taut when the body is at highest point. Velocity of the body when the string is in horizontal position is A. ( 3 sqrt{g r} ) B . ( sqrt{g r} ) c. ( sqrt{5 g r} ) D. ( sqrt{3 g r} ) | 11 |

1119 | A ball is projected vertically up with a velocity of ( 20 m s^{-1} . ) Its velocity, when the displacement is ( 15 m, ) is……… ( m s^{-1} ) (Take ( boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2} mathbf{)} ) A . 10 B. 15 ( c cdot-10 ) D. Both (A) and (C) | 11 |

1120 | A body moves with uniform velocity of ( boldsymbol{u}=mathbf{7} boldsymbol{m} / boldsymbol{s} ) from ( boldsymbol{t}=mathbf{0} boldsymbol{t o} boldsymbol{t}=mathbf{1 . 5 s} . ) It starts moving with an acceleration of ( 10 m / s^{2} . ) The distance between ( t= ) ( mathbf{0} ) to ( boldsymbol{t}=mathbf{3} boldsymbol{s} ) will be: A. ( 47.75 mathrm{m} ) B. 32.25 m ( c cdot 16.75 mathrm{m} ) D. 27.50 ( mathrm{m} ) | 11 |

1121 | When is a body said to be in motion? A. A body is said to be in motion when its position continuously changes with respect to time. B. A body is said to be in motion when its position does not change with respect to time. C. A body is said to be in motion when its average speed is zero. D. All the above. | 11 |

1122 | A ball is released from the top of a tower of height h meters. It takes T seconds to reach the ground. What is the position of the ball in ( frac{T}{3} ) seconds? A ( cdot frac{h}{9} ) metres from the ground B. ( frac{7 h}{9} ) metres from the ground c. ( frac{8 h}{9} ) metres from the grounds D. ( frac{17 h}{18} ) metres from the ground | 11 |

1123 | The initial velocity of the particle is 10 ( m ) sec and its retardation is ( 2 m / s^{2} . ) The distance moved by the particle is 5 th second of its motion is : A. ( 1 m ) в. ( 19 m ) ( c .50 m ) D. ( 75 m ) | 11 |

1124 | Figure shows the position-time graph of a particle of mass 4 kg. Let the force on the particle for ( tF_{2}=F_{3} ) ( mathrm{c} cdot F_{1}>F_{2}>F_{3} ) ( F_{1}<F_{2}<F_{3} ) | 11 |

1125 | A point moving with constant acceleration from ( boldsymbol{A} ) to ( boldsymbol{B} ) in the straight line ( A B ) has velocities ( v_{o} ) and ( v ) at ( A ) and ( B ) respectively. Find the velocity at ( C ) the mid point of ( A B . ) Also show that if the time from ( A ) to ( C ) is twice that from ( C ) to ( B ) then ( v=7 v_{o} ) | 11 |

1126 | A stone ( A ) is dropped from a height ( h ) above the ground. A second stone B is simultaneously thrown vertically up from a point on the ground with velocity v. The line of motion of both the stones is same. The value of v which would enable the stone ( B ) to meet the stone ( A ) midway ( at midpoint) between their initial position is: ( A cdot 2 g h ) в. ( 2 sqrt{g h} ) ( c cdot sqrt{g h} ) D. ( sqrt{2 g h} ) | 11 |

1127 | Two identical metal balls ( A ) and ( B ) moving in opposite directions with different speeds hit each other at point ( X ) as shown in the figure. Changes will most likely appear in their 1. Shapes 2. Speeds 3. Directions 4. Volumes A . 1 and 3 B. 2 and 3 ( c cdot 2 ) and 4 D. 1,2 and 3 | 11 |

1128 | ( mathbf{A} ) ( 20 k g ) body is pushed with just enough force to start it moving across a floor and the same force continues to act afterwards. The coefficient of static and kinetic friction are ( 0.6 & 0.2 ) respectively. The acceleration of the body is : A ( cdot 6 m / s^{2} ) B . ( 1 mathrm{m} / mathrm{s}^{2} ) c. ( 2 m / s^{2} ) D. ( 4 m / s^{2} ) | 11 |

1129 | A flowerpot falls from a windowsill ( 25.0 m ) above the sidewalk. How much time does a passerby on the sidewalk below have to move out of the way before the flowerpot hits the ground? (in seconds) A .2 B . 2.3 ( c cdot 6 ) ( D ) | 11 |

1130 | 12. The ratio of times to reach the ground and to reach first half of the distance is a. √3:1 b. √2:1 c. 5:2 d. 1:3 | 11 |

1131 | How far into the classroom did the student move? Distance ( / m ) ( mathbf{1} ) ( mathbf{0} ) ( mathbf{3} ) 0 Time ( / s ) ( 1 quad 2 quad 3 ) | 11 |

1132 | Find the velocity of the boy as seen by bird. A ( .-12 hat{j} ) в. ( 12 hat{j} ) ( c cdot 12 hat{k} ) D. ( 10 hat{i}-12 hat{j} ) | 11 |

1133 | A car is moving with a speed of ( 30 m / s ) on a circular track of radius 500 m. Its speed is increasing at a rate of ( 2.0 mathrm{m} / mathrm{s}^{2} ) Determine the magnitude of its acceleration. | 11 |

1134 | The numerical ratio of displacement to distance covered is always: A. Less than one B. Equal to one c. Equal to or less than one D. Equal to or greater than one | 11 |

1135 | The velocity of a particle at an instant is ( 10 mathrm{m} / mathrm{s} . ) After 3 sec its velocity will become ( 16 mathrm{m} / mathrm{s} ). The velocity at ( 2 mathrm{sec} ) before the given instant, will be? ( mathbf{A} cdot 6 mathrm{m} / mathrm{s} ) B. ( 4 mathrm{m} / mathrm{s} ) c. ( 2 mathrm{m} / mathrm{s} ) D. ( 1 mathrm{m} / mathrm{s} ) | 11 |

1136 | Then the distance from the thrower to the point where the ball returns to the same level is ( A cdot 58 mathrm{m} ) B. ( 68 mathrm{m} ) ( c cdot 78 m ) D. 88 m | 11 |

1137 | In above que. find the condition when bobbin moves to right- A. ( R sin alpha=r ) B. Rsinalpha( >r ) c. Rsinalpha( <r ) D. None of these | 11 |

1138 | Illustration 4.42 Let us consider a boat which moves with a velocity Vbw = 5 km h-relative to water. At time t=0, the boat passes through a piece of cork floating in water while moving downstream. If it turns back at time t = ty, when and where does the boat meet the cork again? Assume t, = 30 min. | 11 |

1139 | 2. A stone is let to fall from a balloon ascending with an acceleration f. After time t, a second stone is dropped. Prove that the distance between the stones after time t, since the second stone is dropped, is (f+g)t(t + 2t’). ne fine from the ten af vertical anae has | 11 |

1140 | A body is projected from the ground with a velocity ( v=(3 hat{i}+10 hat{j}) m s^{-1} ) The maximum height attained and the range of the body respectively are (given ( boldsymbol{g}=mathbf{1 0 m} boldsymbol{s}^{-2} mathbf{)} ) A. ( 5 mathrm{m} ) and ( 6 mathrm{m} ) B. 3 m and 10 ( mathrm{m} ) ( c .6 mathrm{m} ) and ( 5 mathrm{m} ) D. 3 m and 5 m | 11 |

1141 | Assertion The time of flight ‘T’ is the sum of time of ascent and time of descent. Reason The time of ascent is equal to the time of descent. A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion c. Assertion is correct but Reason is incorrect D. Both Assertion and Reason are incorrect | 11 |

1142 | An object falls from rest with an acceleration ( g ). The uncertainty in the value of the time is ( pm 6 % ) and the uncertainty in the value of ( g ) is ( pm 4 % ). The best estimate for the uncertainty of the position of the of the object is:- ( mathbf{A} cdot pm 16 % ) B . ( pm 10 % ) ( c . pm 5 % ) D. ( pm 8 % ) | 11 |

1143 | An object is moving along the ( x ) -axis whose position time is given.Which portion of ( boldsymbol{x}-boldsymbol{t} ) graph is not practically possible? ( A cdot A B ) В. ( B C ) ( c cdot C D ) D. ( D E ) | 11 |

1144 | 28. A body travels 200 cm in the first 2 s and 220 cm in the next 4 s with deceleration. The velocity of the body at the end of the seventh second is a. 5 cms- b. 10 cms- c. 15 cms-‘d. 20 cms- | 11 |

1145 | Figure below shows the distance-time graph of three objects ( A, B ) and ( C ) Study the graph and answer the following questions: which of the three is travelling the fastest? A. car ( C ) B. car ( A ) ( c cdot operatorname{car} B ) Dan not be determine | 11 |

1146 | Let the instantaneous velocity of a rocket just after launching, be given by the expression ( boldsymbol{v}=2 boldsymbol{t}+boldsymbol{3} boldsymbol{t}^{2} ) (where ( boldsymbol{v} ) is in ( m s^{-1} ) and ( t ) is in seconds). Find out the distance travelled by the rocket from ( t=2 s ) to ( t=3 s ) | 11 |

1147 | A person moves ( 30 mathrm{m} ) north, then ( 20 mathrm{m} ) east, then ( 30 sqrt{2} ) m south-west. His displacement from the original position is: A. 6 m south-west B. 28 m south c. ( 10 mathrm{m} ) west D. ( 15 mathrm{m} ) east | 11 |

1148 | A train moves in north direction with a speed of ( 54 mathrm{km} / mathrm{h} ) A monkey is running on the roof of the train, against its motion with a velocity of ( 18 mathrm{km} / mathrm{h} ). with respect to train. The velocity of monkey as observed by a man standing on the ground is : A. ( 5 mathrm{m} / mathrm{s} ) due south B. ( 25 mathrm{m} / mathrm{s} ) due south c. ( 10 m / s ) due south D. ( 10 mathrm{m} / mathrm{s} ) due north | 11 |

1149 | Two particles are moving with velocities ( v_{1} ) and ( v_{2} ). Their relative velocity is the maximum, when the angle between their velocities is: A. zero в. ( pi / 4 ) c. ( pi / 3 ) D. | 11 |

1150 | toppr ( Q ) meters. Arter this the bus travels at a constant speed for 15 seconds. Then the driver notices a red light 18 meters ahead and applies brakes with acceleration ( a_{b} . ) Assume that the bus decelerates at a constant rate and comes to a stop sometime later just at the light. 1. What was the initial acceleration of the bus? 2. What was the velocity of the bus after 5 seconds? 3. Calculate ( a_{b} ) 4. How long did does the bus brake? b) Two athletes Usha and Shiney are playing athletic games. Usha is running at a constant velocity towards Shiney who is stationary. When Usha is 12 meters away from Shiney, Shiney starts to accelerate at a constant rate of ( 1.5 m s^{-2} ) 1. What is the minimum velocity with which Usha needs to run in order to just catch up with Shiney? 2. How long does Usha take to catch up with Shiney? | 11 |

1151 | Figure (i) and (ii) below show the displacement-time graphs of two particles moving along the x-axis. We can say that A. Both the particles are having a uniformly accelerated motion B. Both the particles are having a uniformly retarded motion C. Particle (i) is having a uniformly accelerated motion while particle (ii) is having a uniformly retarded motion D. Particle (i) is having a uniformly retarded motion while particle (ii) is having a uniformly accelerated motion | 11 |

1152 | Speed can be positive, zero or negative. True or false A . True B. False | 11 |

1153 | A particle moves in ( X Y ) plane according to the law ( x=a sin (t) ) and ( y= ) ( boldsymbol{a}(1-cos (boldsymbol{t})) ) where a is constant. The particle traces: A . a parabola B. a straight line equallyinclined to x and y axes c. a circle D. a distance proportional to time | 11 |

1154 | A ball is thrown vertically up with a velocity of ( 14.7 m / s ) from the top of a tower of height ( 49 mathrm{m} . ) On its return, it misses the tower and finally strikes the ground. The time that elapsed from the instant the ball was thrown until it passes the edge of the tower is A . ( 1.5 s ) B . ( 3 s ) ( c cdot 6 s ) D. ( 0.5 s ) | 11 |

1155 | A ball is projected vertically upwards. Its speed at half of maximum height is ( 20 m / s . ) The maximum height attained by it is [Take ( left.boldsymbol{g}=mathbf{1 0} boldsymbol{m} / boldsymbol{s}^{2}right] ) A . 35 m в. 15 т ( c .25 m ) D. ( 40 m ) | 11 |

1156 | A passenger in moving train tosses a coin which falls behind him. It means that the motion of the train is A. Accelerated B. Uniform C. Retarded D. Circular motion | 11 |

1157 | Match column – -I with column-II and select the correct answer using the codes given below: Column-I Column (A) The rate of change ( quad(p) quad ) Accelera of momentum The ratio of the total (B) distance travelled to (q) Velocity the total time taken ( (C) ) The time rate of ( quad ) (r) ( quad ) Average ( (r) ) change of velocity ( quad ) ‘(‘) ( quad ) speed Displacement per ( quad(s) quad ) Force (D) ( quad ) unit time ( mathbf{A} cdot(A) rightarrow(s),(B) rightarrow(r),(C) rightarrow(p),(D) rightarrow(q) ) B ( .(A) rightarrow(p),(B) rightarrow(r),(C) rightarrow(q),(D) rightarrow(s) ) ( mathbf{c} cdot(A) rightarrow(s),(B) rightarrow(p),(C) rightarrow(r),(D) rightarrow(q) ) D. ( (A) rightarrow(q),(B) rightarrow(r),(C) rightarrow(p),(D) rightarrow(s) ) | 11 |

1158 | C. CdMo1 be zero d . Depends upon 3. The numerical value of the ratio of average velocit average speed is a. Always less than 1 b. Always equal to 1 c. Always more than 1 d. Equal to or less than 1 TI locity | 11 |

1159 | In the two dimensional motions: A. ( x-t ) graph gives actual path of the particle B. ( y-t ) graph gives actual path of the particle c. ( sqrt{x^{2}+y^{2}} ) versus t graph gives the actual path of the particle D. ( y-x ) graph gives actual path of particle | 11 |

1160 | A point moves such that its displacement as a function of time is given by ( x^{3}=t^{3}+1 . ) Its acceleration as a function of time ( t ) will be: A ( cdot frac{2}{x^{5}} ) B. ( frac{2 t}{x^{3}} ) ( c cdot frac{2 t}{x^{4}} ) D. ( frac{2 t^{2}}{x^{5}} ) | 11 |

1161 | A balloon is rising vertically upwards at a velocity of ( 10 mathrm{m} / mathrm{s} ). When it is at a height of ( 45 m ) from the ground,a parachutist bails out from it. After ( 3 operatorname{second} s ) he openshis parachute and decelerates at a constant rate of ( 5 m / s^{-2} . ) What was the height of the parachutist above the ground when he opened his parachute?(take ( boldsymbol{g}= ) ( left.mathbf{1 0 m} / boldsymbol{s}^{-mathbf{2}}right) ) ( mathbf{A} cdot 15 mathrm{m} ) B. 30 ( m ) ( c cdot 45 m ) D. ( 60 mathrm{m} ) | 11 |

1162 | Illustration 4.35 On a two lane road, car A is travelling with a speed of 36 km h-‘. Two cars B and C approach car A in opposite directions with a speed of 54 km h. At a certain instant, when the distance AB is equal to AC, both 1 km, B decided to overtake A before C does. What minimum acceleration of car B is required to avoid an accident? | 11 |

1163 | A stone is dropped from the top of a cliff It is seem to hit the ground below after 4.2 sec. How high is the cliff? A. ( 86.44 m ) B. ( 860 m ) ( c cdot 160 m ) D. 180 | 11 |

1164 | 10. A man is 45 m behind the bus when the bu accelerating from rest with acceleration 2.5 m/s what minimum velocity should the man start running to catch the bus? (a) 12 m/s (b) 14 m/s (c) 15 m/s (d) 16 m/s fe | 11 |

1165 | What was the average speed of the cyclist for the past hour when he travels at a constant ( 25 k m / h r ) for 30 minutes, coasts for 15 minutes at a constant ( 20 mathrm{km} / mathrm{hr} ) and then pedals at a constant ( 40 mathrm{km} / mathrm{hr} ) for another 15 minutes? A. ( 27.5 mathrm{km} / mathrm{hr} ) B. ( 25 mathrm{km} / mathrm{hr} ) c. ( 22.5 mathrm{km} / mathrm{hr} ) D. ( 30 mathrm{km} / mathrm{hr} ) E . ( 32.5 mathrm{km} / mathrm{hr} ) | 11 |

1166 | A body is moving with variable acceleration (a) along a straight line. The average acceleration of body in time interval ( t_{1} ) to ( t_{2} ) is | 11 |

1167 | a body moving with a uniform accleration crosses a distance ( 15 m ) in the second and 23 m second. The displacement in 10 s will be. | 11 |

1168 | ( frac{frac{sqrt{2}}{4}}{frac{1}{4}} ) | 11 |

1169 | 3. The distance covered by it after n seconds is directly proportional to a. n? b. n c. 2n-1 d. 2n² – 1 | 11 |

1170 | Derive the distance traveled by an object in ( n^{t h} ) sec with the help of graph | 11 |

1171 | Two motorcycles ( M_{1} ) and ( M_{2} ) are heading towards each other with a speed of ( 30 k m h^{-1} ) each. A bird flies off ( M_{1} ) at ( 60 k m h^{-1} ) when distance between the motorcycles is ( 60 k m ). It heads towards ( M_{2} ) and then back to ( M_{1} ) and so on. The total distance the bird moves till the motorcycles meet is ( A cdot 60 k m ) в. ( 40 mathrm{km} ) ( c .50 k m ) D. 30 km E. non | 11 |

1172 | Identify the information learned from the curve of an acceleration time graph? A. The position of the object B. The displacement of the object c. The velocity of the object D. The acceleration of the object E. None of the above | 11 |

1173 | Time when ball again meets the lift: A ( cdot frac{5}{3} s ) в. ( frac{4}{3} s ) c. ( frac{3}{4} ) D. ( frac{3}{5} s ) | 11 |

1174 | 23. The distance PQ, a. 20 m b. 10 m c. 5 m d. 2.5 m | 11 |

1175 | Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time ( t_{1} . ) On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time ( t_{2} . ) The time taken by her to walk up on the moving escalator will be A ( cdot frac{t_{1}+t_{2}}{2} ) B. ( frac{t_{1} t_{2}}{t_{2}-t_{1}} ) ( mathbf{C} cdot frac{t_{1} t_{2}}{t_{2}+t_{1}} ) D. ( t_{1}-t_{2} ) | 11 |

1176 | A particle is dropped from rest from a large height. Assume ( g ) to be constant throughout, the motion. The time taken by it to fall through successive distances of ( 1 mathrm{m} ) each will be ( mathbf{A} cdot ) All equal, being equal to ( sqrt{2 / g} ) second B. In the ratio of the square roots of the integers 1,2,3 C. In the ratio of the difference in the square roots of the integers, i.e., ( sqrt{1},(sqrt{2}-sqrt{1}),(sqrt{3}-sqrt{2}),(sqrt{4}-sqrt{3}), ldots ) D. In the ratio of the reciprocals of the square roots of the integers, i.e., ( frac{1}{sqrt{1}}, frac{1}{sqrt{2}}, frac{1}{sqrt{3}}, ldots ) | 11 |

1177 | 1 is standing on top of a building 100 m high. He throws alls vertically, one at t = 0 and after a time interval (less – seconds). The later ball is thrown at a velocity of half the Att=2s, both the balls reach to their maximum heights. At me the vertical gap between first and second ball is + 15 m. 14. The speed of first ball is (a) 20 m/s (b) 10 m/s (C) 5 m/s (d) 15 m/s | 11 |

1178 | A ball is thrown vertically up. If the ball reached at maximum height in ( 3 s ) Assume air resistance is negligible. The initial velocity of the ball is most nearly A. ( 10 mathrm{m} / mathrm{s} ) в. ( 15 mathrm{m} / mathrm{s} ) c. ( 30 m / s ) D. ( 45 mathrm{m} / mathrm{s} ) E . ( 60 mathrm{m} / mathrm{s} ) | 11 |

1179 | A proton and an ( alpha- ) particle enter a uniform magnetic field perpendicular with the same speed. If proton takes ( 20 mu s ) to make 5 revolution, then the periodic time for the ( alpha ) -particle would be: ( A cdot 5 mu s ) в. ( 8 mu s ) c. ( 10 mu s ) D. ( 12 mu s ) | 11 |

1180 | A body dropped from the top of a tower reaches the ground in 4 s. Height of the tower is (Take ( boldsymbol{g}=mathbf{9 . 8} boldsymbol{m} / boldsymbol{s}^{2} ) ): A . ( 39.2 m ) в. ( 44.1 mathrm{m} ) c. ( 58.8 m ) D. ( 78.4 mathrm{m} ) | 11 |

1181 | A ball is released from the top of a tower of height ( h ) meters. It takes ( T ) second to reach the ground. What is the position of the ball in ( T / 3 ) second? A. ( 2 h / 9 ) meter from the ground B. ( 7 h / 9 ) meter from the ground c. ( 8 h / 9 ) meter from the ground D. ( 17 h / 18 ) meter from the ground | 11 |

1182 | The acceleration of a body projected upwards with a certain velocity is A. ( 9.8 mathrm{m} / mathrm{s}^{2} ) B. -9.8 ( m / s^{2} ) c. zero D. insufficient data | 11 |

1183 | A particle moves along the ( x ) -axis with a position given by the equation ( boldsymbol{x}=mathbf{5}+ ) ( 3 t, ) where ( x ) is in meters, and ( t ) is in seconds. The positive direction is east Which of the following statements about the particle is false? A. The particle is east of the origin at ( t=0 ) B. The particle is at rest at ( t=0 ) c. The particle’s velocity is constant D. The particle’s acceleration is constant | 11 |

1184 | Two objects ( A ) and ( B ) are moving towards each other with velocities ( 10 mathrm{m} / mathrm{s} ) and 12 ( mathrm{m} / mathrm{s} ) respectively as shown. Find the velocity of A with respect to B. ( mathbf{A} ) A. ( 22 mathrm{m} / mathrm{s} ) в. ( -22 mathrm{m} / mathrm{s} ) c. ( 12 m / s ) D. ( 40 mathrm{m} / mathrm{s} ) | 11 |

1185 | A particle in uniformly accelerated motion travels ( a, b ) and ( c ) distances in the ( x^{t h}, y^{t h} ) and ( z^{t h} ) second of it’s motion, respectively. Then, value of ( a(y-z)+ ) ( b(z-x)+c(x-y) ) will be ( A ) B. 0 ( c cdot 2 ) D. 3 | 11 |

1186 | An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example. | 11 |

1187 | ( mathbf{v}-mathrm{t} ) graph of a particle moving in a straight line is as shown in figure. The whole graph is made up of four straight lines ( P, Q, R ) and ( S . ) These four straight line indicate four type of motions ( left(M_{1} ldots M_{4}right) ) discussed above. State which straight line corresponds to which type of motion. A ( cdot P rightarrow M_{2} ; Q rightarrow M_{1} ; R rightarrow M_{4} ; S rightarrow M_{3} ) B ( . P rightarrow M_{4} ; Q rightarrow M_{3} ; R rightarrow M_{2} ; S rightarrow M_{1} ) c. ( P rightarrow M_{1} ; Q rightarrow M_{2} ; R rightarrow M_{4} ; S rightarrow M_{3} ) D. ( P rightarrow M_{1} ; Q rightarrow M_{2} ; R rightarrow M_{3} ; S rightarrow M_{4} ) | 11 |

1188 | A boat covers a certain distance between two spots in a river taking ( t_{1} ) hrs going downstream and ( t_{2} ) hrs going upstream. What time will be taken by boat to cover same distance in still water? A ( cdot frac{t_{1}+t_{2}}{2} ) B ( .2left(t_{2}=t_{1}right) ) c. ( frac{2 t_{1} t_{2}}{t_{1}+t_{2}} ) D. ( sqrt{t_{1} t_{2}} ) | 11 |

1189 | Using following data, draw timedisplacement graph for a moving object. Time (s) Displacemen ( (m) ) Use the graph to find average velocity for first 4 s, for next 4 s and for last 6 s? | 11 |

1190 | A body falls freely from rest. It cover as much distance in the last second of its motion as covered in the first three second. The body has fallen for a time of A . ( 3 s ) B . ( 5 s ) c. ( 7 s ) D. ( 9 s ) | 11 |

1191 | A lawn roller is pulled along a horizon surface through a distance of ( 20 mathrm{m} ) by with a force of ( 200 mathrm{N} ). If the rope make angle of ( 60^{circ} ) with the vertical while pu the amount of work done by the pulli force is ( mathbf{A} cdot 3464 mathbf{J} ) B. ( 1000 mathrm{J} ) D. 2000J | 11 |

1192 | In which region is the acceleration decreasing? A. V to ( w ) ( B . W ) to ( X ) ( c cdot x ) to ( Y ) D. Y to z | 11 |

1193 | In distance-time graph, which of the following is plotted on the ( y ) -axis? A. speed B. distance ( c . ) time D. none of the above | 11 |

1194 | The time in which the ball strikes the floor of elevator is given by A . 2.13 s в. 2.0 ( c cdot 1.0 s ) D. 3.12 | 11 |

1195 | 25. The a-t graph of the particle is correctly shown by a. “A b. A T 27 | 11 |

1196 | What is the speed of each during overtaking? | 11 |

1197 | A particle is projected up with a velocity of ( 20 mathrm{m} mathrm{s}^{-1} ) from the tower of height 25 m. Its velocity on reaching the ground is ( m s^{-1} ) A . 30 B. 60 c. 120 D. 20 | 11 |

1198 | Calculate the rate at which the tank is filled in gallons per second. (in gal/s) A .0 .0729 B. 0.07 c. 0.072 D. 0.029 | 11 |

1199 | A variable line is such that its distance from origin always remains 2 units. Minimum value of the length of intercept made by it between coordinate axis is A ( cdot 12 ) B. 4 ( c cdot 8 ) D. 16 | 11 |

1200 | A body is projected vertically upward with a velocity of ( 10 m s^{-1} ). It reaches maximum height ( h ) at time ( t . ) In time ( frac{t}{2} ) the height covered is A ( cdot frac{h}{2} ) в. ( frac{2}{5} h ) ( c cdot frac{3}{4} h ) D. ( frac{5}{8} h ) | 11 |

1201 | Two particles of masses ( m_{1} ) and ( m_{2} ) are dropped from height ( h_{1} ) and ( h_{2} ). They reach the earth after times ( t_{1} ) and ( t_{2} ) respectively, Then: A ( cdot frac{t_{1}}{t_{2}}=sqrt{frac{h_{1}}{h_{2}}} ) B. ( frac{t_{1}}{t_{2}}=sqrt{frac{h_{2}}{h_{1}}} ) c. ( frac{t_{2}}{t_{1}}=frac{h_{2}}{h_{1}} ) D. none of these | 11 |

1202 | A car increases its speed from 20 km / to ( 50 k m / h ) in 10 seconds. Its acceleration is A ( cdot 30 m s^{-2} ) B . ( 3 m s^{-2} ) ( mathrm{c} cdot 18 mathrm{ms}^{-2} ) D. None of these | 11 |

1203 | How much time does it take to go from the ground to its highest point? | 11 |

1204 | u. Por < Vavy > Vavz. . b. The time taken by the particle to cross the windows satisfies the relation to <tz <tz. c. The magnitude of the acceleration of the particle while crossing the windows, satisfies the relation a = a + 2z. d. The change in the speed of the particle, while crossing the windows, would satisfy the relation Av, < Av2 AV3. Irm north and 3 km east of ship B. | 11 |

1205 | On a displacement/time graph, two straight lines make angles at ( 30^{circ} ) and ( 60^{circ} ) with the time axis. The ratio of the velocities represented by them is: A .1: 2 B. 1: 3 c. 2: 1 D. 3: 1 | 11 |

1206 | The displacement-time graph being a straight line parallel to the displacement axis implies A . infinite velocity B. zero velocity c. positive velocity D. negative velocity | 11 |

1207 | A body starts with an initial velocity of ( 10 m s^{-1} ) and acceleration ( 5 m s^{-2} ). Find the distance covered by it in 5 s. ( mathbf{A} cdot 62.5 m ) в. 32.5 т c. ( 112.5 m ) D. ( 50 m ) | 11 |

1208 | 13. A ball is released from the top of a tower of height h. It takes time T to reach the ground. What is the position of the ball (from ground) after time T/3? a. h/9 m b. 7h/9 m c. 8h/9 m d. 17h/18 m my_ | 11 |

1209 | A body of mass ( M ) moves in outer space with velocity ( V . ) It is desired to break the body into two parts so that the mass of one part is one-tenth of the total mass. After the explosion, the heavier part comes to rest while the lighter part continues to move in the original direction of motion. The velocity of the small part will be A. ( V ) B. ( (V / 2) ) c. ( (V / 10) ) |