1
Manzil JEE (2024)
Kinematics
JEE
Revision Practice Sheet
Single Correct Type Questions (1 to 15)
1.
A hall has the dimensions 10 m × 10 m × 10 m. A
fly starting at one corner ends up at a farthest
corner. The magnitude of its displacement is:
2.
(1) 5 3 m
(2) 10 3 m
(3) 20 3 m
(4) 30 3 m
A person travelling on a straight line without
changing direction moves with a uniform speed v1
for half distance and next half distance he covers
with uniform speed v2. The average speed v is
given by
2v v
(1) v = 1 2
(2) v = v1v2
v1 + v2
(3)
3.
v1 + v2
2
(4)
1 1 1
= +
v v1 v 2
6.
A ball is dropped from the top of a building. The
ball takes 0.5 s to fall past the 3 m height of a
window some distance from the top of the building.
If the speed of the ball at the top and at the bottom
of the window are vT and vB respectively, then
(g = 9.8 m/sec2)
(1) vT + vB = 12 ms–1 (2) vT – vB = 4.9 m s–1
vB
(3) vBvT = 1 m2 s–2 (4)
=1
vT
7.
Two particles held at different heights a and b
above the ground are allowed to fall from rest. The
ratio of their velocities on reaching the ground is:
(1) a : b
(3) a2 : b2
8.
A particle starts from rest with uniform acceleration
a. Its velocity after n seconds is v. The displacement
of the particle in the last two seconds is :
2v(n − 1)
v(n −1)
(1)
(2)
n
n
2v(2n + 1)
v(n + 1)
(3)
(4)
n
n
4.
The displacement (s) of a body is given by
2s = gt2 where g is a constant. The velocity of the
body at any time t is:
(1) gt
(2) gt/2
2
(3) gt /2
(4) gt3/6
5.
A body starts from rest and is uniformly
accelerated for 30 s. The distance travelled in the
first 10 s is x1, next 10 s is x2 and the last 10 s is x3.
Then x1 : x2 : x3 is the same as
(1) 1 : 2 : 4
(2) 1 : 2 : 5
(3) 1 : 3 : 5
(4) 1 : 3 : 9
(2)
a: b
3
(4) a : b3
Figure shows the position time graph of a particle
moving on the X-axis.
(1) the particle is continuously going in positive x
direction
(2) area under x–t curve shows the displacement
of particle
(3) the velocity increases up to a time to, and then
becomes constant.
(4) the particle moves at a constant velocity up to
a time to, and then stops.
9.
A student determined to test the law of gravity for
himself walks off a skyscraper 320 m high with a
stopwatch in hand and starts his free fall (zero
initial velocity). 5 second later, superman arrives at
the scene and dives off the roof to save the student.
2
What must be superman's initial velocity in order
that he catches the student just before reaching the
ground? [Assume that the superman's acceleration
is that of any freely falling body.] (g = 10 m/s2)
275
(1) 98 m/s
(2)
m/s
3
187
(3)
m/s
(4) It is not possible
2
10.
12.
In the one-dimensional motion of a particle, the
relation between position x and time t is given by
x2 + 2x = t (here x > 0). Choose the correct
statement:
1
(1) The retardation of the particle is
4(x + 1)3
(2) The uniform acceleration of the particle is
1
(x + 1)3
(3) The uniform velocity of the particle is
1
(x + 1)3
(4) The particle has a variable acceleration of
4t + 6.
13.
The displacement time graphs of two particles A
and B are straight lines making angles of
respectively angles of 30° and 60° respectively
with the time axis. If the velocity of A is vA and
v
that of B is vB, then the value of A is
vB
In the displacement–time graph of a moving
particle is shown, the instantaneous velocity of the
particle is negative at the point:
x
D
E
F
C
t
(1) C
(3) E
11.
(2) D
(4) F
A particle starts from rest and moves along a
straight line with constant acceleration. The
variation of velocity v with displacement S is :
(1)
v
(3)
(1)
14.
3
(1)
v
2gh 
1 + 1 + 2 
g
v 
(2)
v
2gh 
1 − 1 + 2 
g
v 
(3)
v  2gh 
1+ 2 
g 
v 
(4)
v  2gh 
1− 2 
g 
v 
(2)
1/2
S
v
(2)
A ball is thrown vertically upwards from the top of
a tower of height h with velocity v. The ball strikes
the ground after time.
S
v
1
3
1
(4)
3
1
2
1/2
(3)
S
v
(4)
S
15.
A balloon is moving upwards with velocity
10 ms–1. It releases a stone which comes down to
the ground in 11 s. The height of the balloon from
the ground at the moment when the stone was
dropped is:
(1) 495 m
(2) 592 m
(3) 460 m
(4) 500 m
3
One or More Than One Type Questions (16 to 17)
16. The velocity-time graph of a particle is given in
figure.
Choose the correct statement(s) among the following
(1) The distance travelled during first two seconds
is 10 m
(2) Displacement during 0 to 4 s is zero
(3) Acceleration at t = 1/2 s is -10 m/s2
(4) Distance travelled during 0 to 4 s is 20 m
17.
A ball is dropped from a height of 19.6 m above the
ground. It rebounds from the ground and raises
itself up to the same height. Take the starting point
as the origin and vertically downward as the
positive x-axis. which of the following graph(s)
is/are correct?
(Neglect the small interval during which the ball
was in contact with the ground.)
Passage Type Questions (18 to 20)
The x-ordinate of a particle moving along x-axis in
terms of time is given as x = (2 – t)(t – 6) metre.
18. The displacement in time t = 2 to t = 5 sec is
(1) 2 m
(2) 3 m
(3) 4 m
(4) None
19.
The average velocity in time t = 2 sec to t = 5 sec is
(1) 0.5 m/s
(2) 1 m/s
(3) 2 m/s
(4) None
20.
The time t at which the particle has maximum
positive x-coordinate is:
(1) t = 1 sec.
(2) t = 2 sec.
(3) t = 4 sec.
(4) None
Match the Column Type Questions: (21 to 23)
21. Study the graphs given in List I and match them
with appropriate statements given in List II.
List I
List II
I
P
Net
displacement
is positive
II
Q
Net
displacement
is negative
III
R
Particle
returns to its
initial
position
again
IV
S
Acceleration
is positive
(1)
(2)
(3)
(4)
(1)
(2)
(3)
(4)
I-P,S, II-Q, III-R, IV-P
I-Q,S, II-P,S, III-R, IV-P
I-Q,S, II-P,S, III-P, IV-R
I-P, II-Q,S, III-R, IV-Q,S
4
22.
A particle moves along a straight line such that its
displacement S varies with time t as
S =  +t + t 2
List I
Acceleration at t = 2s
I
Average velocity
II
during 3rd s
III Velocity at t = 1 s
IV Initial displacement
(1) I-P, II-Q, III-S, IV-R
(2) I-Q, II-P, III-R, IV-Q
(3) I-P, II-Q, III-R, IV-S
(4) I-Q, II-P, III-S, IV-R
24.
An object moving in a straight line covers half the
distance with speed of 3 m/s. The other half of the
distance is covered in two equal time intervals with
speed of 4.5 m/s and 7.5 m/s, respectively. During
this motion, what is the average speed of the object
(in m/s)?
25.
A particle starts moving with acceleration 2 m/s2.
Distance travelled by it (in m) in 5th half second is
______.
List II
P
 + 5
Q
2
R
S

 + 2
Integer Type Questions (23 to 25)
23. An object starts from rest with a constant acceleration.
At a time t second, the speed is found to be 100 m/s and
one second later the speed becomes 150 m/s. The
distance travelled during the (t + 1)th second in metres
is:
5
ANSWER KEY
1.
(2)
14.
(1)
2.
(1)
15.
(1)
3.
(1)
16.
(1, 2, 4)
4.
(1)
17.
(1, 2, 3)
5.
(3)
18.
(2)
6.
(1)
19.
(2)
7.
(2)
20.
(3)
8.
(4)
21.
(2)
9.
(2)
22.
(4)
10.
(3)
23.
(125)
11.
(2)
24.
(4)
12.
(1)
25.
(2.25)
13.
(4)
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