Motion In A Straight Line Questions

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Motion In A Straight Line Questions

List of motion in a straight line Questions

Question NoQuestionsClass
1A 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
2and ( 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
3The 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
4A 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
5The 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
6A 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
7Explain with proper examples – ‘Motion is relative.11
8A 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
9A 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
10A 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
12A 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
13A 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
14A 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
1511. 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
16Positive 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
178. 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
18What 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
19Two
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
2026. The distance travelled with uniform velocity is
a. 375 m b. 125 m c. 300 m d. 450 m
11
21A 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
22The 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
235. 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
24An object may appear moving to one person and at rest to another person at the same time Justify giving an example.11
25The 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
26A 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
28A 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
29If a body is projected with speed
greater than escape speed ( v_{e} ) from the surface of earth, find its speed in interstellar space.
11
30An 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
314. 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
33A 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
34A 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
35A 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
36Position-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
37A 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
38A 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
40In 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
41State whether given statement is True or False.

The motion of a giant wheel is a circular motion
A. True
B. False

11
42The 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
43The 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
44A 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
45A 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
4630. 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
47A 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
48Given 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
49A 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
5011. 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
51Two 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
52Time taken by the ball to reach the ground after crossing the elevator.11
53Consider 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
54When 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
55Which of the following is not vector quantity?
A. Retardation
B. Acceleration due to gravity
c. Average speed
D. Displacement
11
56The 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
57A 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
58A 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
59Illustration 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
60Two 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
61Assertion
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
6231. 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
63The 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
64A 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
65A 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
66Consider 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
67A 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
68Two 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
69Two 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
70To 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
71With 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
72A moving carrom board coin describes a motion
A. rectilinear
B. rotatory
c. periodic
D. oscillatory
11
73A 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
749. 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
75A 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
76Rain 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
77Find 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
78A 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
79State whether given statement is True or False.

The motion described by wire of sitar is a vibratory motion
A. True
B. False

11
80if 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
81A 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
82If 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
83If ( 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
84A 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
85A 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
86Given
( boldsymbol{V}=boldsymbol{t}^{2}+boldsymbol{2} boldsymbol{t}+boldsymbol{3} )
Find average speed between time
interval ( t_{1} & t_{2} ? )
11
87If 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
88One 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
89While 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
90The 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
91Position-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
92The 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
93A 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
94Give 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
95The 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
96Two 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
97U. 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
98A 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
9910. 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
100A 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
101A 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
102The 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
1037. 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
104In 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
1053. 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
1063. 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
107A 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
108A 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
109The 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
110Acceleration 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
111At 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
112A 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
1139. 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
114Calculate 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
115Assertion
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
116A 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
117A 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
118Gradient of line of velocity time graph is tells us the
A. velocity
B. acceleration
c. distance
D. time
11
119The 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
120A 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
121A 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
122A 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
123Two bullets are fired horizontally with different velocities from the same
height.

Which will reach the ground first?
A. Slower one
B. Faster one
c. Both will reach simultaneously
D. It cannot be predicated

11
124At 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
125A 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
126Particle 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
1278. An object is thrown up vertically. The velocity-time graph
for the motion of the particle is
b. A
a.
ou
11
128A 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
129Find 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
130The 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
131A 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
132Assertion – The sound emitted by the
source travels in all directions.

Reason – The relative velocity of sound with respect to the observer is the sum
of velocity of sound and velocity of
observer.
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
133A 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
134A 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
135Distances 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
136mum 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
137Change of the position of an object with respect to the observer is called.
A. speed
B. distance
c. displacement
D. motion
11
138The 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
139A 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
140In 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
141The 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
142A 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
143Find the acceleration of the vehicle.
A. ( 0.1 mathrm{Ams}^{-2} )
B. ( 0.3 mathrm{ms}^{-2} )
D. ( 1 mathrm{ms}^{-2} )
11
144The 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
145A 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
146A 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
14712. 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
148A 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
149A 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
150A 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
151If 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
152A 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
153A 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
154A 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
15513. 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
156An 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
157Two 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
158The 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
159The 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
160What 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
161Two 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
162The 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
1636. 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
164An 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
165Two 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
166A 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
167A 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
168i) Match the following graphs with their
corresponding motions.
ii) What is the value of acceleration in
graph B?
11
169The ( 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
170The 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
171A 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?
( mathbf{A} cdot 0 k m / h )
в. ( 48 k m / h )
c. ( 50 k m / h )
D. ( 60 k m / h )
E . ( 100 k m / h )

11
172When 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
173A 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
174A 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
175The 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
17614. 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
177Two 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
178A 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
179A 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
180A 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
181Two 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
182The 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
183positions ‘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
184Assertion
If the magnitude of displacement is zero, then it is not a vector quantity.
Reason

A vector have both magnitude and 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. Assertion is incorrect but Reason is correct

11
185The 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
186Illustration 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
187Assertion
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
188Two 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
1899. 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
190A 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
191What 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
192A body at rest with initial displacement can be shown in the displacement ( (s) ) versus time (t) graph given above.
A. True
B. False
11
193A 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
194The 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
195A 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
196What is displacement?11
197A 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
198A 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
19918. 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
2005. 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
201The 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
202Two 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
203A 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
204A 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
205A 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
206What is a motion?11
207What 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
208The 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
209If 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
210Rahul 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
211Two 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
212A 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
213State whether true or false.
Motion of the needle of a sewing
machine is rotatory motion.
A. True
B. False
11
214A 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
215The 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
216A 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
217A 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
218A 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
219If 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
2204(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
221A 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
222With 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
223A 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
225State whether given statement is True or False.
The motion of the moon around the
earth is a curvilinear motion
A. True
B. False
11
22649. 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
227A 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
228Two electrons lying ( 10 c m ) apart are released. What will be their speed when
they are ( 20 c m ) apart?
11
229The figure shown depicts the distance
travelled by a body as a function of time.

The average speed and maximum
speed between 0 and ( 20 s ) are
A. ( 1 m / s, 2.0 m / s ) respectively
B. ( 1 m / s, 1.6 m / s ) respectively
c. ( 2.0 m / s, 2.6 m / s ) respectively.
D. ( 1.3 m / s, 2.0 m / s ) respectively

11
230A 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
231State whether true or false.
A coin moving over a carrom board exhibits rectilinear motion.
A. True
B. False
11
232Q 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
233Figure 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
234The 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
235A 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
236State the following statement is True or False:

The total path length is always equal to the magnitude of the displacement vector of a particle.
A. True
B. False

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
238A 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
239An 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
240A 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
241Velocity-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
242If 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
243Two 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
244A 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
245A 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
246Which 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
247Which 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
248A 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
249A 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
250Suppose 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
251A 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
252A 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
253A 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
254A 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
255Assertion
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
256The 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
258Illustration 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
25910. Which is correct?
a. 11 = 12
c. t,t2
d. Depends upon the mass
1
TL
1.
11
260A velocity – time graph is shown above
in figure (i) and (ii) find the
acceleration and displacement
11
261A 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
262The displacement of particle moving
along x-axis versus time is given in the
figure below

The average velocity, ( V_{a v} ) of the particle
in the first four seconds and the velocity
V of it at ( t=4 ) s are
( (mathbf{m}) )
( (mathbf{m}) )
A ( cdot V_{a v}=-1 m / s, V=-1 m / s )
В. ( V_{a v}=1 m / s, V=1 m / s )
C ( cdot V_{a v}=1 m / s, V=0 m / s )
D. ( V_{a v}=-1 m / s, V=0 m / s )

11
263When 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
264A 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
265Total area under velocity-time graph
give us the :
A. acceleration
B. velocity
c. time
D. distance
11
266C. 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
267A 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
268A 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
269If 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
270A 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
271A 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
2724. 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
273A 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
274The 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
276A 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
278A 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
279The 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
280Displacement-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
281A 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
282What 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
283Displacement 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
284A 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
285A ( 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
286A boy throws a ball upwards with a velocity of ( 9.8 m s^{-1} . ) How high does
t go?
11
2875. 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
288A body is projected vertically upwards
from the surface of the earth, then the
velocity time graph is :-
( mathbf{A} )
B.
( mathbf{c} )
D.
11
289The 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
290A 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
291The 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
292A 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
293Two 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
294The 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
295Assertion
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
motion.
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
296An 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
2975. 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
299A 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
300A 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
301C.
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
302The 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
303An 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
304Illustration 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
305The 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
306Assertion
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
307A 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
3085. 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
309An 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
310A 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
311A 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
312A 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
313A 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
314Motion of the earth around the sun is
A. periodic
B. non- periodic
c. oscillatory
D. linear
11
315Upton 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
316Given 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
317Assertion
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
318The 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
3197. 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
320A 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
321A 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
322A 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
323Which 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
324A 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
325A 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
326A 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
327A 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
328A 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
329on 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
330Assertion
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
331A 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
332For 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
333The 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
334A 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
3356. 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
336A 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
337Two 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
338A 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
339Two 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
340A 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
341A 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
342The 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
343A 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
344A 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
345Displacement 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
346Adjacent 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
347A 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
348A 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
349Illustration 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
3504. 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
351Velocity-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
352A 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
353Two 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
354If 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
355At 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
356For 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
357A 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
358The 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
359The 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
360A 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
361O
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
362A 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
363A 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
364LWU 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
365An 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
366A 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
367Establish the relation ( S_{n} t h=u+ )
( frac{a}{2}(2 n-1), ) where the letters have their
usual meaning.
11
368The slope of the velocity time graph for retarded motion is
A. positive
B. negative
c. zero
D. can be +ve,- -ve or zero
11
369A 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
370The ( 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
371A 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
372For 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
373A 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
374Two 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
375Assertion
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
u is given by ( boldsymbol{h}=frac{boldsymbol{u}^{mathbf{2}}}{mathbf{2} boldsymbol{g}} )
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
376A 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
377A 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
378Two 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
379A 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
380The 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
381Initially 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
382A 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
3832. 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
384An 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
38545. 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
386A 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
387A 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
388A 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
389What is the nature of the displacement time graph of a body moving with constant acceleration?11
390A 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
391Where in the classroom was the student
after 10 seconds?
Distance ( / m ) ( mathbf{1} ) ( mathbf{2} ) ( mathbf{3} )
Time ( / s ) 0 1 2
11
392A body at rest cannot have
and
11
393If 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
394when and where the ball will meet the
elevator.
11
395A 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
3966. 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
397Which 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
398A 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
399Two 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
400Three 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
4011. The velocity of the body at any instant is
M+2N14
b. 2N
.. M*2016 2
M+2N
d. 2N13
11
402State 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
40313. 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
404Assertion
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
405Raindrops 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
407A 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
408waysm0VS 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
409A 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
410A 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
411Mr 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
412If 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
413The 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
414Rectilinear 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
415The 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
416A 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
417A racing car has a uniform acceleration
of ( 4 m s^{-2} ) will it cover in ( 10 s ) after
start?
11
418A 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
419What is the average speed of farmer
during the walk?
Fig. 3.43
11
420Two 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
421Light travels in a straight line with
constant speed of ( 3 times 10^{8} m s^{-1} ) What is
the acceleration of light?
11
42233. 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
423A ( 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
4242. 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
42514. 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
426VII.
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
427Ting +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
428Which 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
429toppr
Q Type your question
same straight line
Which of these objects is experiencing
a non-zero net force?
4
B.
( c )
( D )
( E )
11
43022. 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
431A 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
432Assertion: 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
433You 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
434A 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
435Which 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
436A body falling freely towards the earth
has
A. uniform speed
B. uniform velocity
c. uniform acceleration
D. none of these
11
437toppr 5
Q Type your question
graphs
( A )
( (mathrm{A}) )
( B )
( (mathrm{B}) )
( c )
( (mathrm{C}) )
( D )
( (mathrm{D}) )
11
438A 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
439Three 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
440An 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
441A 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
442A 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
443Tllustration 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
4441. 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
445A 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
446Two 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
447A 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
448A 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
449U-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
450A 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
451Q 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
452Name 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
453A 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
454A 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
455A 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
456toppr
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
proportionality. Find the distance
covered when it’s velocity falls from ( boldsymbol{v}_{mathbf{0}} )
to ( boldsymbol{v} )
( ^{mathbf{A}} cdot_{x}=frac{-1}{k}left[frac{1}{v_{0}}-frac{1}{v}right] )
в. ( _{x}=frac{v_{0}-v}{k} )
c. ( _{x}=k log _{e} frac{v_{0}}{v} )
D. ( x=frac{1}{k} log _{e} frac{v_{0}}{v} )

11
457A 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
458The motion described by the string of a violin is
A. Vibratory motion
B. Oscillatory motion
c. circulatory motion
D. Linear Motion
11
459Show that ( s propto t^{2} ) for a freely falling
body
11
460A 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
461The 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
462A 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
463The velocity-position graph of a particle is shown in figure. Write the relation
between ( v ) and ( x )
11
464A 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
465Assertion : 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.
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
466An 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
467The 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
468The 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
4699. 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
470Two 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
471A 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
472A 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
47327. 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
474The 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
475Two 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
476A 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
477Which 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
47811 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
479What is the velocity of the ball two seconds after it is dropped?
A . 19.6
B . 25
c. 18.4
D. 23
11
480If 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
481A 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
482Motion which repeats itself after regular intervals.
A. oscillatory motion
B. vibratory motion
c. periodic motion
D. none
11
483A 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
484The 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
485If 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
486A 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
487If 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
488The ( 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
489A freely falling body starting from rest, travel ( _{–}-_{-} ) of total distance in 5 th
Second
A. ( 8 % )
B. ( 12 % )
c. ( 25 % )
D. ( 36 % )
11
490In 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
491A ball is thrown up,what is its velocity and acceleration at the top?11
492Consider 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
493A 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
494What does the path of an object look
like when it is in uniform motion?
11
495Illustration 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
4966. 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
497What 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
498A 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
499A 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
500An 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
be constant, what is the planet’s
gravity?
A ( .-3.00 m / s^{2} )
B . ( -2.00 mathrm{m} / mathrm{s}^{2} )
c. ( -1.00 m / s^{2} )
D. ( -0.50 m / s^{2} )
E. Cannot be determined

11
501Derive following equations for a uniformly accelerated motion where the symbols have their usual meanings:
( boldsymbol{v}=boldsymbol{u}+boldsymbol{a} boldsymbol{t} )
11
502When 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
503toppr
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
504Say Yes or No:
Can an object reverse the direction of
its motion even though it has constant acceleration?
11
505The 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
506The rate of change motion is called
A. speed
B. distance
c. time
D. velocity
11
507Illustration 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
508Assertion
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
509A 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
510To 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
511Velocity 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
512Which of the following graph represent
the motion of a particle starting from
rest:
( A )
B.
( c )
D. All of the above
11
513Two 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
514The 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
515Assertion
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
516The 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
517The negative slope of a velocity-time graph implies
A. accelerated motion
B. retarded motion
c. uniform motion
D. no motion
11
518The 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
519A 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
520A 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
521A 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
522Displacement 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
523A 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
524The 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
525Which 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
526A 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
527An 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
528A 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
529Fill 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
530A 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
531A 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
532A 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
533The 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
534Starting 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
535Which 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
536Which 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
537A 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
538Two 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
539The 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
540How 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
541A 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
542A 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
543At 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
544Velocity-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
545An 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
546A 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
547Area under the velocity-time graph
gives
A. Displacement
B. Speedd
c. Acceleration
D. none of the above
11
548A 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
54939. 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
550Derivation 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
551A 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
552A 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
553Two 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
554A 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
555What 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
556Is it possible for an accelerating body to have zero velocity? Explain.11
557The 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
558TDD) 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
559A 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
560A 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
5612. 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
562The 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
563A 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
56412. 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
565State whether true or false.
The equations of motion are applicable only when the body moves with constant
acceleration.
A. True
B. False
11
566An 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
567A 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
568A 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
569A 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
570An 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
571vertically 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
572A 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
573Two 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
574A 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
575A 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
576Three 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
577A 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
579Two 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
580A 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
581A 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
583Water 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
584A 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
585An 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
586In 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
587To 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
588During upward motion of a body projected vertically upward, the angle
between velocity and ‘g’ is ( 90^{circ} )
A. True
B. False
11
589What 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
590A 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
591Acceleration of the particle when its
velocity becomes half of the initial
velocity
11
592A 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
593Given 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
594The 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
595from 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
596у 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
597For 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
59815. 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
599Which 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
600A 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
601The length of minute hand of a clock is
14 ( m . ) Calculate the speed at which the
tip of minute hand moves.
11
602Ine 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
603A 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
604In 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
605Two 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
606The 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
607A 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
608Two 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
610If ( 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
611A 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
612In 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
613Give reasons:
When a body falls freely to the ground,
its motion has a uniform acceleration.
11
614An ( 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
615The 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
6162. 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
617On 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
618Two 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
619A 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
620A 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
621Two 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
622A 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
623A 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
624You 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
626A 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
6276. 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
628A 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
6291000 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
630Referring a-s diagram in the Fig., find the velocity after particle travel ( 250 mathrm{m} )
from starting. Assume ( v_{0}=0 )
11
631Find the acceleration of block ( A ) in
terms of B. All surface are frictionless.
11
632If 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
633A 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
634In 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
635What will be the velocity at ( t=5.00 ) s?11
636A ball is thrown vertically upwards. After some time, it returns to the thrower
Draw the velocity-time graph and speed-time graph.
11
637O
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
638A 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
639Identıty In wnıch or the rollowıng grapns
does the moving object reverse its
direction?
( A )
B.
( c )
D.
E .
11
640The 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
641A 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
642150 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
643A 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
644A 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
645A 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
646A 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
647A 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
648If 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
649A 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
650A 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
651Observe 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?
A. ( x y )
в. хоу
c. xorx
D. xyo

11
652Velocity-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
653State 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
also be zero.
A. True
B. False

11
654The motion of train and car belongs to:
A. Translatory motion
B. Rotary motion
c. To & Fro motion
D. spin motion
11
655For 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
656An 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
657Q 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
658A 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
659A 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
660What do you mean by motion? Explain different type of motion.11
661A 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
663How 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
664Ramu 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
665Two 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
666A 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
667From 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
668The 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
669Shown 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
670A 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
671Illustration 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
672A 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
673A 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
674A 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
675If 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
676If 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
677A 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
678A 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
679Three 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
6803. 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
681How long will it be before the ball hits the ground? Take ( g=10 m s^{-2} )11
682An 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
68314. 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
684A 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
685The 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
68620. 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
687What 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
688Average 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
689Choose 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
690A 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
691Rewrite the following equation in terms
of ( boldsymbol{a} )
( s=u t+frac{1}{2} a t^{2} )
11
692The 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
6938. The time after which two bodies meet will be
a. 2s b . 4. c. 65 d. 85
11
694State 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
695A 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
696A 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
697The 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
698157 (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
699Source 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
700A ( 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
701The 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
702U.
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
703When 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
704An 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
705A 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
706A 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
707Two 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
708A 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
709A 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
710State whether true or false.
A boy on a swing exhibits both oscillatory motion and periodic motion
A. True
B. False
11
71110. 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
7127. Total distance travelled by the car is
aßt2
aß,
b.
4a+B)
2(a + b)
2aßt2
C.
d.
4aße
(a+ß)
(a + B)
11
713A 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
714A 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
715b
b.

6. The maximum velocity attained by the car is

2(a+B)
a+B
2aß
x+B
a+B
4aß
11
716The 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
717A 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
718Car ( 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
719A 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
720A 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
721A 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
722A 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
723The 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
724A 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
725Three 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
726The 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 Q11
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
728A 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
729On 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
730The 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
731If 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
732A 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
733A 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
734The 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
735The ( 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
7366 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
737m/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
738An 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
739A 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
740The 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
741A 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
742A 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
743A 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
744Two 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
745An 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
746D.
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
747A 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
748A 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
749If 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
751An 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
752How 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
753A 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
754A 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
755A 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
756A 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
757Eight 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
7581. 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
75910. 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
76030. The particle has negative acceleration
a. In graph (i)
b. In graph (ii)
c. In graph (iii)
d. In graph (iv)
11
761The 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
762Multiple Correct Answers Type:
The body will speed up if

This question has multiple correct options
A. Velocity and acceleration are in the same direction.
B. Velocity and acceleration are in opposite directions.
C. Velocity and acceleration are in the perpendicular direction.
D. Velocity and acceleration are acting at acute angle
w.r.t each other.

11
763From 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
764A 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
765For 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
766A 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
767A 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
768For the following graph find:
Acceleration
Distance
11
769The 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
770A 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
771A 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
string will be wound round the nail is
( A cdot 2 mathrm{cm} )
B. ( 4 mathrm{cm} )
( mathbf{c} .6 mathrm{cm} )
( mathbf{D} cdot 8 mathrm{cm} )

11
772A 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
773A 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
774Which or the rollowıng grapns given
below is impossible?
( A )
B.
( mathbf{c} )
D.
11
775The 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
77624. The v-t graph of the particle is correctly shown by
a.
b. 1
2T
T
2T
d.
T
27 i
I
27
11
777A 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
778To 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
779Then 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
7808. 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
781Larger 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
782A 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
783The 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
784LADY
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
785Two 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
786Two 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
787Acceleration 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
788Equation 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
789Displacement – 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
7908. 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
791A 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
792The 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
793The 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
794A 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
795Fill 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
796A 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
797The 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
798Two 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
799The 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
800Two 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
80123. 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
802A 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
803The 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
80428. Acceleration of the particle is positive
a. In graph (i)
b. In graph (ii)
c. In graph (iii)
d. In graph (iv)
11
805A 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
806A 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
808If 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
809Маст! 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
810A 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
811When 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
81225. 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
813A 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
814Position -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
815The ( 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
816A 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
817Identify 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
818A 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
819The 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
820Two 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
821How much time does it take the
automobile to overtake the truck?
11
8223. 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
8231. 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
824A 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
825A 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
826An 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
827O
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
828An 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
829A 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
8304. 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
831Tripling 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
832A 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
833A 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
834A 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
835Which 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
836The 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
837A body in uniform motion moves with:
A. constant velocity
B. constant speed
c. constant acceleration
D. none of these
11
838f 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
839A 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
840A 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
8415. 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
842A 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
843The 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
844The 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
845A 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
8463. 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
847A 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
848The 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
849The 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
850A 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
8514. 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
852What 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
853A 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
854The gradient or slope of the distancetime graph at any point gives
A. Acceleration
B. Displacement
c. velocity
D. Time
11
855A 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
856The motion described by a simple pendulum is motion
A. oscillatory
B. rotatory
c. rectilinear
D. curvilinear
11
857An 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
858In 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
859A 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
860The displacements is given by ( boldsymbol{x}=mathbf{2}+ )
( 4 t+5 t^{2} . ) Find the value of
instantaneous acceleration?
11
861Match the entries in List 1 with
appropriate ones from List 2
11
862The 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
863A 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
864A 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
865Name the type of motion when a girl is skipping a rope and moving forward11
866A 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
867A 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
868The value of acceleration due to gravity on earth is.
( mathbf{A} cdot 9.8 mathrm{ms}^{-2} )
B. 15376
c. 227004
D. 127008
11
869What 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
870topp ( 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
871From 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
872In 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
873A 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
874A 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
875A 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
8765. 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
87716. 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
878Galileos 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
879A 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
880The 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
881A 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
string will be wound round the nail is
A ( .2 mathrm{cm} )
в. 4 ст
( c .6 mathrm{cm} )
D. ( 8 mathrm{cm} )

11
882Illustration 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
883A 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
88427. 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
885Given that, ( boldsymbol{t}=mathbf{5} boldsymbol{s}, boldsymbol{u}=mathbf{0} boldsymbol{m} / boldsymbol{s}, boldsymbol{s}= )
( 110 m )
find the acceleration
11
886Two 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
887Larger the slope of a displacement-time
graph
A. lesser the velocity
B. higher the velocity
c. lesser the acceleration
D. higher the acceleration
11
888The area under velocity-time graph gives:
A. acceleration
B. distance
c. displacement
D. velocity
11
889The 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
890If 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
891A 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
892The acceleration of a moving body can be found from the area under velocitytime graph.
A. True
B. False
11
893A 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
89411. 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
895A 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
896Two 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
897In 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
898A 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
8992. Statement I: Distance and displacement are different
physical quantities.
Statement II: Distance and displacement have same
dimension.
11
900A 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
901The 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
902If the velocity of a body does not change with time, its acceleration is11
903After ( 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
904A 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
905Velocity 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
906A 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
907A 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
908O
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
909A 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
910You 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
911Motion 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
912Differentiate between Distance and
Displacement.
11
91313. 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
914The 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
915The 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
916Two 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
91711. 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
918A 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
919The ( 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
920If 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
921A 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
922The 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
923A 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
924Distance travelled in nth second has the
units of
A. displacement
B. velocity
c. acceleration
D. momentum
11
925istration 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
926A ball thrown upwards at an angle describes ( -ldots- ) motion
A . curvilinear
B. rectilinear
c. periodic
D. oscillatory
11
927Observe 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
928A 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
929The 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
93022. 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
931A 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
932A 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
933Can the speed of a body be negative?11
934( frac{k}{k} )11
935A 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
936A 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
937The 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
93811. Find the expression for the acceleration of the particle.
(a) 3t2 + 3t
(b) 6t(t-1)
(c) 6t2 + 3t
(d) none
11
939The 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
940The 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
941A 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
942The velocity-position graph of a particle is shown in figure. Obtain the relation between acceleration and displacement
and plot it.
11
943When 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
944A 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
945A 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
946A 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
947A 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
948Illustration 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
949How far was the automobile behind the
truck initially?
11
95012. 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
951The 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
952The shortest distance between the
motorcyclist and the car is
A . ( 10 m )
B. 20m
( c .30 m )
D. ( 40 m )
11
953An 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
954Find 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
955A 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
956How 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
958Distinguish between Uniform motion and non uniform motion.11
959A 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
960From 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
961A 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
962A 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
963A 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
964A 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
965A 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
966Two 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
967Nisha 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
968A 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
969The 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
970Find 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
972A 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
973In 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
974The figure shown speed-time graph of a
car
Calculate displacement from the
graph?
11
975If 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
976What 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
977Which 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
9785owa
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
979Velocity of light is same in all media. (State True or False)
A. True
B. False
c. Nither
D. Either
11
980The 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
981Speed of a body describing its motion
is
A. Direction
B. State
c. Type
D. Rapidity
11
982An 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
98318. 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
984From 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
985On 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
986Two 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
987A 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
988A 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
989A 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
990An 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
991A ball is thrown vertically upwards. The
positive direction is taken to be in
upward direction.

Which of the following is the correct
sign of the quantities during its
ascent?
( begin{array}{llll} & text { POSITION } & text { VELOCITY } & text { ACCELERATIO } \ text { (A) } & text { Positive } & text { Positive } & text { Positive } \ text { (B) } & text { Positive } & text { Positive } & text { Negative } \ text { (C) } & text { Positive } & text { Negative } & text { Negative } \ text { (D) } & text { Negative } & text { Positive } & text { Negative } \ text { (E) } & text { Negative } & text { Negative } & text { Negative }end{array} )
( A cdot A )
B. B
( c cdot c )
( D cdot D )
( E )

11
992A 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
993A 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
994A 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
995A 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
99644. 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
997Which 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
9989. The distance covered by the second body when they meet
is
a. 8 m
b. 16 m
c. 24 m
d. 32 m
11
999A 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
1000Illustration 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
1001Multiple 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
1002A 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
1003A 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
1004Draw 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
1005A 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
100612. 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
1007The 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
1008The 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
1009Can a body have acceleration without
having velocity?
11
1010To 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
10113. 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
1012A 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
10137. 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
1014A 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
1015A 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
1016A 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
1017Find the average velocity of the train
A . 0
в. ( 80 k m p h )
c. ( 40 k m p h )
D. 20kmph
11
1018When 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
1019On 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
1020A 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
1021The 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
1022The 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
1023JWLS
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
1024A 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
1025A 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
1026A 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
1027A 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
1028A 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
1029The 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
1030A 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
1031A 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
1032For 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
1033A 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
1034A 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
1035The 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
1036A 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
1037A 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
1038Derive 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
1039The 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
1040The 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
1041A 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
1042Sl 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
1043An 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
1044A 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
1045A ball thrown by a boy from a roof-top
has
A. Curvilinear
B. oscillatory motion
c. Periodic motion
D. Linear motion
11
1046A 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
1047A ( 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
1048The 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
1049When 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
1050A 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
105123. 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
1052The 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
1053A 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
1054A 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
1055For 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
1056Illustration 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
1057A 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
1058Water 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
1059Assertion
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
1060Equation 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
1061A 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
1062The 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
1063At 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
1064A 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
1065its speed?11
1066topp
11
1067Illustration 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
1068A 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
1069A 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
car for the journey shown by the graph?
A. ( -1.5 m s^{-1} )
B. ( 0.0 m s^{-1} )
c. ( 4.0 m s^{-1} )
D. ( 4.5 m s^{-1} )

11
1070When ( C ) passes ( A ), where is B?11
1071If 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
107215. 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
1073Starting 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
1074Give one example each of the following types of motion:
(a) Linear
(b) Translation
(c) Circular (d)
Periodic
11
1075A 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
1076A 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
1077Two 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
1078A 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
1079A 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
1080A ( 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
1081Suppose 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
1082The 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
1083In 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
10844. The distance covered in the nth second is proportional
to
a. n
bon
c. 2n-1
d. 2n² – 1
11
1085Acceleration-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
1086A 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
1087A 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
1088Water 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
1089From 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
1090Whenever 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
1091A 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 )
as observed by ( mathrm{C} )
A . ( 0 . J )
в. ( 50000 J )
c. ( 20000 J )
D. ( 40000 J )

11
1092Assertion
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
1093A 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
1094A 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
1095A 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
1096Relation 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
1097Prove 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
1098Water 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
1099The 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
1100The 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
1101A 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
1102A 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
1103A 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
1104Which 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
1105Which 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
1106The 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
1107The 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
1108A 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
1109Assertion
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
1110The 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
1111A 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
1112The 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
1113The 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
1114Give reasons why Distance and
displacement are different concepts.
11
1115Ram 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
1116An 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
1117A 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
1118A 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
1119A 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
1120A 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
1121When 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
1122A 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
1123The 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
1124Figure 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
1125A 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
1126A 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
1127Two 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
1129A 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
113012. 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
1131How 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
1132Find 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
1133A 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
1134The 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
1135The 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
1136Then 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
1137In 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
1138Illustration 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
11392. 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
1140A 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
1141Assertion
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
1142An 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
1143An 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
114428. 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
1145Figure 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
1146Let 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
1147A 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
1148A 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
1149Two 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
1150toppr
( 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
1151Figure (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
1152Speed can be positive, zero or negative. True or false
A . True
B. False
11
1153A 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
1154A 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
1155A 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
1156A 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
1157Match 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
1158C. 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
1159In 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
1160A 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
1161A 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
1162Illustration 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
1163A 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
116410. 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
1165What 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
1166A 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
1167a 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
11693. The distance covered by it after n seconds is directly
proportional to
a. n?
b. n c. 2n-1 d. 2n² – 1
11
1170Derive the distance traveled by an
object in ( n^{t h} ) sec with the help of graph
11
1171Two 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
1172Identify 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
1173Time 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
117423. The distance PQ,
a. 20 m b. 10 m
c. 5 m
d. 2.5 m
11
1175Preeti 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
1176A 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
11771 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
1178A 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
1179A 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
1180A 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
1181A 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
1182The 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
1183A 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
1184Two 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
1185A 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
1186An 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
1188A 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
1189Using 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
1190A 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
1191A 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
1192In which region is the acceleration
decreasing?
A. V to ( w )
( B . W ) to ( X )
( c cdot x ) to ( Y )
D. Y to z
11
1193In 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
1194The 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
119525. The a-t graph of the particle is correctly shown by
a. “A
b. A
T 27
11
1196What is the speed of each during overtaking?11
1197A 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
1198Calculate 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
1199A 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
1200A 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
1201Two 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
1202A 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
1203How much time does it take to go from the ground to its highest point?11
1204u. 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
1205On 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
1206The 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
1207A 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
120813. 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
1209A 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