ONLY ONE OPTION IS CORRECT.
Take approx. 2 minutes for answering each question.
Q.1 If position time graph of a particle is sine curve as shown,
what will be its velocity-time graph.
(A) (B) (C) (D)
Q.2 A truck starting from rest moves with an acceleration of 5 m/s2 for 1 sec and
then moves with constant velocity. The velocity w.r.t ground v/s time
graph for block in truck is ( Assume that block does not fall off the truck)
(A) (B) (C) (D) None of these
Q.3 If angular velocity of a disc depends an angle rotated as = 2 + 2, then its angular acceleration at
= 1 rad is :
(A) 8 rad/sec2 (B) 10 rad/sec2 (C) 12 rad/sec2 (D) None
Q.4 If a particle takes t second less and acquires a velocity of v ms–1 more in falling through the same
distance (starting from rest) on two planets where the accelerations due to gravity are 2 g and 8 g
respectively then:
(A) v = 2gt (B) v = 4gt (C) v = 5 gt (D) v = 16 gt
Q.5 It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not
move it takes him 3 minute to walk up . How long will it take for the passenger to arrive at the top if he
walks up the moving escalator ?
(A) 30 sec (B) 45 sec (C) 40 sec (D) 35 sec
Q.6 The co-ordinates of a moving particle at a time t, are give by,
x = 5 sin 10 t, y = 5 cos 10t. The speed of the particle is :
(A) 25 (B) 50 (C) 10 (D) None
Q.7 Tangential acceleration of a particle moving in a circle of radius 1 m varies with
time t as (initial velocity of particle is zero). Time after which total acceleration of
particle makes and angle of 30° with radial acceleration is
(A) 4 sec (B) 4/3 sec
(C) 22/3 sec (D) 2 sec
Q.8 A particle is projected from a horizontal plane (x-z plane) such that its velocity vector at time t is given by
V a î ( b ct ) ĵ . Its range on the horizontal plane is given by
ba 2ba 3ba
(A) (B) (C) (D) None
c c c
,Q.9 A particle moves along a straight line in such a way that it’s acceleration is increasing at the rate of
2 m/s3. It’s initial acceleration and velocity were 0, the distance covered by it in t = 3 second is.
(A) 27 m (B) 9 m (C) 3 m (D) 1 m
Q.10 A ball is thrown vertically down with velocity of 5m/s. With what velocity should another ball be thrown
down after 2 seconds so that it can hit the 1st ball in 2 seconds
(A) 40 m/s (B) 55 m/s (C) 15 m/s (D) 25 m/s
Q.11 Acceleration versus velocity graph of a particle moving in a straight line
starting from rest is as shown in figure. The corresponding velocity-time
graph would be
(A) (B) (C) (D)
Q.12 A particle is projected vertically upwards from a point A on the ground. It takes t1 time to reach a point
B but it still continues to move up. If it takes further t2 time to reach the ground from point B then height
of point B from the ground is
1 1 1
(A) g ( t1 t 2 ) 2 (B) g t1 t2 (C) g(t1 t 2 ) 2 (D) gt t
2 8 2 1 2
Q.13 Balls are thrown vertically upward in such a way that the next ball is thrown when the previous one is at
the maximum height. If the maximum height is 5m, the number of balls thrown per minute will be
(A) 40 (B) 50 (C) 60 (D) 120
Q.14 The velocity- time graph of a body falling from rest under gravity and rebounding from a solid surface is
represented by which of the following graphs?
(A) (B) (C) (D)
Q.15 A disc arranged in a vertical plane has two groves of same length directed along
the vertical chord AB and CD as shown in the fig. The same particles slide
down along AB and CD. The ratio of the time tAB/tCD is
(A) 1 : 2 (B) 1 : 2 (C) 2 : 1 (D) 2 :1
Q.16 The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed
varies with time t as
t t
(A) 2 a sint (B) 2a sin (C) 2a cos t (D) 2a cos
2 2
Q.17 A body moves with velocity v = n x m/s where x is its position. The net force acting on body is zero at
(A) 0 m (B) x = e2 m (C) x = e m (D) x = 1 m
, Q.18 A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h.
Simultaneously another body B is dropped from height h. It strikes the ground and does not rebound.
The velocity of A relative to B v/s time graph is best represented by : (upward direction is positive)
(A) (B) (C) (D)
Q.19 A body of mass 1 kg is acted upon by a force F 2 sin 3t î 3 cos 3t ˆj find its position at t = 1 sec if
at t = 0 it is at rest at origin.
3 2 2 2 2 2
(A) 2 , 2 (B) 2 , 2 (C) , 2 (D) none of these
3 9 3 3 3 3
Q.20 A force F = Be–Ct acts on a particle whose mass is m and whose velocity is 0 at t = 0. It’s terminal
velocity is :
C B BC B
(A) (B) m C (C) (D) –
mB m mC
Q.21 A man moves in x-y plane 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 P.
(A) A (B) B (C) C (D) D
Q.22 The acceleration of a particle which moves along the positive x-axis
varies with its position as shown. If the velocity of the particle is
0.8 m/s at x = 0 , the velocity of the particle at x = 1.4 is(in m/s)
(A) 1.6 (B) 1.2
(C) 1.4 (D) none of these
Q.23 A body is thrown up in a lift with a velocity u relative to the lift and the time of flight is found to be t. The
acceleration with which the lift is moving up is
u gt 2 u gt u gt 2u gt
(A) (B) (C) (D)
t t t t
Q.24 A ball is thrown vertically downwards with velocity 2gh from a height h. After colliding with the
ground it just reaches the starting point. Coefficient of restitution is
(A) 1 2 (B) 1/2 (C) 1 (D) 2
Q.25 The graph of position x versus time t represents the motion of a particle.
If b and c are both positive constants, which of the following expressions
best describes the acceleration a of the particle?
(A) a = b – ct (B) a = + b
(C) a = – c (D) a = b + ct
Take approx. 2 minutes for answering each question.
Q.1 If position time graph of a particle is sine curve as shown,
what will be its velocity-time graph.
(A) (B) (C) (D)
Q.2 A truck starting from rest moves with an acceleration of 5 m/s2 for 1 sec and
then moves with constant velocity. The velocity w.r.t ground v/s time
graph for block in truck is ( Assume that block does not fall off the truck)
(A) (B) (C) (D) None of these
Q.3 If angular velocity of a disc depends an angle rotated as = 2 + 2, then its angular acceleration at
= 1 rad is :
(A) 8 rad/sec2 (B) 10 rad/sec2 (C) 12 rad/sec2 (D) None
Q.4 If a particle takes t second less and acquires a velocity of v ms–1 more in falling through the same
distance (starting from rest) on two planets where the accelerations due to gravity are 2 g and 8 g
respectively then:
(A) v = 2gt (B) v = 4gt (C) v = 5 gt (D) v = 16 gt
Q.5 It takes one minute for a passenger standing on an escalator to reach the top. If the escalator does not
move it takes him 3 minute to walk up . How long will it take for the passenger to arrive at the top if he
walks up the moving escalator ?
(A) 30 sec (B) 45 sec (C) 40 sec (D) 35 sec
Q.6 The co-ordinates of a moving particle at a time t, are give by,
x = 5 sin 10 t, y = 5 cos 10t. The speed of the particle is :
(A) 25 (B) 50 (C) 10 (D) None
Q.7 Tangential acceleration of a particle moving in a circle of radius 1 m varies with
time t as (initial velocity of particle is zero). Time after which total acceleration of
particle makes and angle of 30° with radial acceleration is
(A) 4 sec (B) 4/3 sec
(C) 22/3 sec (D) 2 sec
Q.8 A particle is projected from a horizontal plane (x-z plane) such that its velocity vector at time t is given by
V a î ( b ct ) ĵ . Its range on the horizontal plane is given by
ba 2ba 3ba
(A) (B) (C) (D) None
c c c
,Q.9 A particle moves along a straight line in such a way that it’s acceleration is increasing at the rate of
2 m/s3. It’s initial acceleration and velocity were 0, the distance covered by it in t = 3 second is.
(A) 27 m (B) 9 m (C) 3 m (D) 1 m
Q.10 A ball is thrown vertically down with velocity of 5m/s. With what velocity should another ball be thrown
down after 2 seconds so that it can hit the 1st ball in 2 seconds
(A) 40 m/s (B) 55 m/s (C) 15 m/s (D) 25 m/s
Q.11 Acceleration versus velocity graph of a particle moving in a straight line
starting from rest is as shown in figure. The corresponding velocity-time
graph would be
(A) (B) (C) (D)
Q.12 A particle is projected vertically upwards from a point A on the ground. It takes t1 time to reach a point
B but it still continues to move up. If it takes further t2 time to reach the ground from point B then height
of point B from the ground is
1 1 1
(A) g ( t1 t 2 ) 2 (B) g t1 t2 (C) g(t1 t 2 ) 2 (D) gt t
2 8 2 1 2
Q.13 Balls are thrown vertically upward in such a way that the next ball is thrown when the previous one is at
the maximum height. If the maximum height is 5m, the number of balls thrown per minute will be
(A) 40 (B) 50 (C) 60 (D) 120
Q.14 The velocity- time graph of a body falling from rest under gravity and rebounding from a solid surface is
represented by which of the following graphs?
(A) (B) (C) (D)
Q.15 A disc arranged in a vertical plane has two groves of same length directed along
the vertical chord AB and CD as shown in the fig. The same particles slide
down along AB and CD. The ratio of the time tAB/tCD is
(A) 1 : 2 (B) 1 : 2 (C) 2 : 1 (D) 2 :1
Q.16 The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed
varies with time t as
t t
(A) 2 a sint (B) 2a sin (C) 2a cos t (D) 2a cos
2 2
Q.17 A body moves with velocity v = n x m/s where x is its position. The net force acting on body is zero at
(A) 0 m (B) x = e2 m (C) x = e m (D) x = 1 m
, Q.18 A body A is thrown vertically upwards with such a velocity that it reaches a maximum height of h.
Simultaneously another body B is dropped from height h. It strikes the ground and does not rebound.
The velocity of A relative to B v/s time graph is best represented by : (upward direction is positive)
(A) (B) (C) (D)
Q.19 A body of mass 1 kg is acted upon by a force F 2 sin 3t î 3 cos 3t ˆj find its position at t = 1 sec if
at t = 0 it is at rest at origin.
3 2 2 2 2 2
(A) 2 , 2 (B) 2 , 2 (C) , 2 (D) none of these
3 9 3 3 3 3
Q.20 A force F = Be–Ct acts on a particle whose mass is m and whose velocity is 0 at t = 0. It’s terminal
velocity is :
C B BC B
(A) (B) m C (C) (D) –
mB m mC
Q.21 A man moves in x-y plane 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 P.
(A) A (B) B (C) C (D) D
Q.22 The acceleration of a particle which moves along the positive x-axis
varies with its position as shown. If the velocity of the particle is
0.8 m/s at x = 0 , the velocity of the particle at x = 1.4 is(in m/s)
(A) 1.6 (B) 1.2
(C) 1.4 (D) none of these
Q.23 A body is thrown up in a lift with a velocity u relative to the lift and the time of flight is found to be t. The
acceleration with which the lift is moving up is
u gt 2 u gt u gt 2u gt
(A) (B) (C) (D)
t t t t
Q.24 A ball is thrown vertically downwards with velocity 2gh from a height h. After colliding with the
ground it just reaches the starting point. Coefficient of restitution is
(A) 1 2 (B) 1/2 (C) 1 (D) 2
Q.25 The graph of position x versus time t represents the motion of a particle.
If b and c are both positive constants, which of the following expressions
best describes the acceleration a of the particle?
(A) a = b – ct (B) a = + b
(C) a = – c (D) a = b + ct
