1
MANZIL 2.O
KINEMATICS
1.
2.
3.
4.
A swimmer moving upstream passes a float at point
P. After two hour, he returns and at this instant it
meets the float again at a distance 15 km from the
point P. If the swimmer velocity in water remains
constant, then find the speed of river flow.
(A) 5 kmh–1
(B) 10 kmh–1
(C) 3.75 kmh–1
(D) 7.5 kmh–1
Two balls are thrown same speed at the same instant
from the same point at angle of projection  and 
with horizontal. If they are simultaneously hit the
top and bottom of vertical pole. The value of
cos cos  is
(A) 1
(B) 2
(C) 2
(D) 1/2
A particle 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 and
with speeds of 4.5 m/s and 7.5 m/s, respectively.
The average speed of the particle during this motion
is
(A) 4 m/s
(B) 5 m/s
(C) 5.5 m/s
(D) 4.8 m/s
7.
A body travelling along a straight line traversed onethird of the total distance with a velocity 4 ms–1. The
remaining part of the distance was covered with a
velocity 2 ms–1 for the time and with velocity 6 ms–1
for the other half of time. The average velocity over
the whole time of
(A) 5 ms–1
(B) 4 ms–1
(C)
4.5 ms–1
(D)
3.5 ms–1
6. A body is moving with velocity 30 m/s towards
East. After 10s its velocity becomes 40 m/s towards
North. The average acceleration of body is
(A)
7 m/s2
(B)
7m / s2
5 m/s2
(D)
1 m/s2
A body initially at rest is moving with uniform
acceleration a m/s2. Its velocity after n second is v.
The displacement of the body in last 2s is
2v(n 1)
v(n 1)
(A)
(B)
n
n
2v(n 1)
2v(2n 1)
(C)
(D)
n
n
8. When a boy moves down an inclined plane of
inclination 37° with horizontal with a speed of 5 ms–
1
, he finds that his umbrella is directed vertically
upward. When he moves up the inclined plane with
the same speed, he finds that his umbrella is directed
7
tan  . The
at angle  with horizontal, where
8
speed of rain drops is
(A) 4 ms–1
(B) 4 2 ms1
(C)
4 3 ms1
(D)
5 2 ms1
9.
An object moves, starting from rest through a
resistive medium such that it acceleration is related
to velocity as, a = 3 – 2v. Then,
(A) the terminal velocity is 1.5 unit
(B) the terminal velocity is 3 unit
(C) the slope of a-v graph is not constant
(D) initial acceleration is 2 unit
10.
A particle moves in a straight line with a constant
acceleration. It changes its velocity from 10 ms–1 to
20 ms–1, while passing through a distance 135 m in t
second. The value of t (in second) is
(A) 12
(B) 9
(C) 10
(D) 18
11.
A particle moving in a straight line with uniform
acceleration is observed to be a distance a from a
fixed point initially. It is at distance b, c, d from the
same point after n, 2n, 3n seconds. The acceleration
of the particle is
c  2b+a
cba
(A)
(B)
2
n
9n2
c  2b  a
c b  a
(C)
(D)
2
4n
n2
A stone is projected from a point on ground at some
angle of projection. At the same time, a bee starts
from a point directly above this point of projection
at a height of 2.5 m horizontally with speed
5 2 ms1. It is found that the stone just touches the
bee at one point. Find range of projectile motion of
stone.
(A) 10 m
(B) 5 m
(C) 7.5 m
(D) 2.5 m
5.
(C)
{ Practice Sheet }
2
12.
13.
A projectile is projected from ground with a speed of
10 ms–1. For what angle of projection a, the
horizontal range will be given by 5m < R < 6 m?
(A)
(B)
[15o, 18.5][30o, 60o ]
[15o,18.5o ] [71.5o, 75o ]
(C)
15o   18.5o
(D)
71.5o   75o
A car starts from rest, moves with an acceleration a
and then decelerates at a constant rate b for
sometime to come to rest. If the total time taken is t.
The maximum velocity of car is given by
abt
a2t
(A)
(B)
(a+b)
(a+b)
(C)
14.
15.
16.
(A)
(B)
at
(a+b)
(D)
b2t
(a+b)
(C)( 5 2 ms1in South-East direction
C
2
)
(D)
A graph of x versus t is shown in figure. Choose
incorrect statements from below.
(A)
(B)
(C)
(D)


19. Among the four graphs, there is only one graph for
which average velocity over the time interval (O.T)
can vanish for suitably chosen T. Which one is it?
(A)
(B)
(C)
(D)
20.
A boy standing at top of a tower of 20 m height
drops a stone. Assuming g = 10ms–2, the velocity
with which it hits the ground is
(A) 20 m/s
(B) 40 m/s
(C) 5 m/s
(D) 10 m/s
21.
A particle moving along X-axis
has acceleration f, at
 t
time t given by f  f0 1 , where f0 and T are
T


constants. The particle at t = 0 has zero velocity. In
the time interval between t = 0 and the instant when
f = 0, the particle’s velocity (vx) is
1
f0T 2
(A)
f0T
(B)
2
1
f 0T
(C)
f0T 2
(D)
2
22.
The position x of a particle with respect to time t
along X-axis is given by x  9t2  t3, where x is in
metre and t in second. What will be the position of
this particle when it achieves maximum speed along
the + x direction?
(A) 32 m
(B) 54 m
(C) 81 m
(D) 24 m
The particle was released from rest at t = 0
At B, the acceleration a > 0
At C, the velocity and the acceleration
The speed at D exceeds than at E.
17. A cyclist is moving Eastward starts from rest at t = 0
with an acceleration 1 ms–2 finds that the wind
seems to blow directly from the South at t = 5s. But
he finds that the wind seems to blow from the
North-East direction at t = 10 s. The actual velocity
of wind is
ms1 in South direction
10
18. A water fountain on the ground sprinkles water all
around it. If the speed of water coming out of
fountain is v, the total area around the fountain that
gets wet is
v2
 v4
(A)  2
(B)
2 g2
g
v2
v2

(C)
(D) 
g
g2
A particle starts its motion from rest such that its
velocity remains constant. If the distance covered in
first 10 s is s1 and that covered in the first 20s is s2,
then
(A) s2 = 2 s1
(B) s2 = 3s1
(C) s2 = 4 s1
(D) s2 = s1
A bullet loses 1/20 of its velocity after penetrating a
plank. How many planks are required to stop the
bullet?
(A) 6
(B) 9
(C) 11
(D) 13
5 ms–1 in South-West direction
5 2 ms1in South-West direction
3
23.
An object moving with speed of 6.25 m/s, is
dv
 2.5 v ,
deaccelerated at a rate given by
dt
where v is the instantaneous speed. The time taken
by the object, to come to rest would be
(A) 2s
(B) 4s
(C) 8s
(D) 1s
24. An aeroplane is moving horizontally at 30 ms–1 at a
height of 1 km towards a target on the ground which
is intended to be bombed. The velocity with which
bomb hits the target is
(A) 100 ms–1
(B) 200 ms–1
–1
(C) 144.6 ms
(D) 150 ms–1
25.
26.
100 m
297.2 m
(B)
(D)
27. A ball is projected from ground. After 2s, the
velocity of ball makes 45° angle with horizontal and
after next 2s, it moves horizontal. The velocity of
projection of ball is
(B)
20 ms–1
(C)
10 5ms1
(D)
20 5ms1
A police jeep is chasing a culprit going on a
motorbike. The motorbike crosses a turning at a
speed of 72 km/h. The jeep follows it at a speed of
90 km/h, crossing the turning 10s later than the bike.
Assuming that they travel at constant speeds, how
far from the turning will the jeep catch up with the
bike? (in km)
(A) 1
(B) 2
(C) 3
(D) 4
29.
A boat takes 2 h to travel 8 km and back in still
water. If the velocity of water 4 km/h, the time taken
for going up stream 8 km and coming back is
(A) 2h
(B) 2h 40 min
(C) 1h 20 min
(D) Cannot be estimated with the information
given
30.
A ball is dropped from a high rise platform at t = 0
starting from rest. After 6s another ball is thrown
downwards from the same platform with speed v.
The two balls meet at t = 18s. What is the value of
v?
(A) 74 ms–1
(B) 55 ms–1
–1
(C) 40 ms
(D) 60 ms–1
31.
Wind is blowing at 10 3ms1in North direction. A
car moving to East at 10 ms–1. A flag is waving on
the car. The flag is directed,
(A) 60° North of West
(B) 60° North of East
(C) 30° South of East
(D) in North-West direction
200 m
300 m
If the velocity of a particle is v  At  Bt2 , where A
and B are constants, then the distance travelled by it
between 1s and 2s is
3
7
(A) 3A + 7B
(B)
A B
2
3
A B
3

(C)
(D)
A  4B
2
2 3
10 ms–1
28.
A ball is projected horizontally on the inclined plane
as shown in the figure. If time of flight is 5s. Find
the range of projectile on inclined plane.
(A)
(C)
(A)
4
Answer Key
1
2.
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11
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21
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28.
29.
30.
31.
(D)
(A)
(A)
(A)
(B)
(C)
(A)
(B)
(A)
(B)
(C)
(B)
(A)
(C)
(B)
(B)
(C)
(C)
(B)
(A)
(D)
(B)
(A)
(C)
(C)
(B)
(D)
(B)
(C)
(A)
(A)
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