Projectile Motion

Holidays Practice Paper)

1. A lift is moving in upward direction with speed 20 m/s and having acceleration 5 m/s2 in downward
direction. A bolt drops from the ceiling of lift at that moment. Just after the drop, the
(1) velocity of bolt with respect to ground is zero
(2) velocity of bolt with respect to ground is 20 m/s in upward direction
(3) acceleration of bolt with respect to ground is 5 m/s2
(4) None of these

2. One car moving on a straight road covers one third of the distance with 20 km/h and the rest with
60 km/h. The average speed of the car is:
2
(1) 40 km/h (2) 80 km/h (3) 46 km / h (4) 36 km/h
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3. A particle is moving along a straight line in same direction with constant acceleration. At the end of
tenth second its velocity becomes 20 m/s and in tenth second it has a displacement of 10 m. Then the
acceleration of the particle will be:
1
(1) 10 m/s2 (2) 20 m/s2 (3) m/s2 (4) 3.8 m/s2
5

4. Figure shows the velocity time graph of a particle moving along straight line (v is m/s and t is in
seconds). Its average velocity in 20 seconds will be:

(1) 10 m/s (2) zero (3) 3.75 m/s (4) 7.5 m/s

5. The acceleration–time graph of a particle moving on a straight line is as shown in figure. The
velocity of the particle at time t = 0 is 2 m/s. The velocity after 2 seconds will be:

(1) 6 m/s (2) 4 m/s (3) 2 m/s (4) 8 m/s

6. The distance covered by a moving particle is directly proportional to t1/2 where t is time elapsed.
What type of motion the object is performing:
(1) always retarded (2) always accelerated
(3) first retarded and then accelerated (4) first accelerated and then retardation

7. Acceleration of a particle under projectile motion at the highest point of its trajectory is:
(1) g (2) zero

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 (3) less than g (4) dependent upon projection velocity

8. A car starts from rest & again comes to rest after travelling 200 m in a straight line. If its acceleration
and deacceleration are limited to 10 m/s2 & 20 m/s2 respectively then minimum time the car will take
to travel the distance is:
20
(1) 20 s (2) 10 s (3) 2 15 s (4) s
3

9. A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the
following remains constant
(1) Kinetic energy of the ball (2) Speed of the ball
(3) Horizontal component of velocity (4) Vertical component of velocity

10. A ball is thrown at an angle of 30° to the horizontal. It falls on the ground at a distance of 90 m.
If the ball is thrown with the same initial speed at an angle 30° to the vertical, it will fall on the
ground at a distance of
(1) 120 m (2) 27 m (3) 90 m (4) 30 m

11. The velocity of projection of a projectile is (6 î + 8 ĵ ) ms–1. The horizontal range of the projectile is:
(1) 4.9 m (2) 9.6 m (3) 19.6 m (4) 14 m

12. An arrow is shot in air, its time of flight is 5 sec and horizontal range is 200 m. The inclination of the
arrow with the horizontal is:
5 8 1
(1) tan–1 (2) tan–1 (3) tan–1 (4) 45°
8 5 8

13. Two bodies are projected with the same velocity if one is projected at an angle of 30º and the other at
an angle of 60º to the horizontal, the ratio of the maximum heights reached is:
(1) 3 : 1 (2) 1 : 3 (3) 1 : 2 (4) 2 : 1

14. A body 'A' is dropped verticaly from the top of a tower. If another identical body 'B' is projected
horizontally from the same point at the same instant, then
(1) 'A' will reach the ground earlier than 'B'
(2) 'B' will reach the ground earlier than 'A'
(3) Both 'A' and 'B' will reach the ground simultaneously
(4) Either (1) or (2)

15. A particle is projected from a horizontal floor with speed 10 m/s at an angle 30º with the floor and
striking the floor after sometime. State which is correct.
(1) Velocity of particle will be perpendicular to initial direction two seconds after projection.
(2) Minimum speed of particle will be 5 m/sec.
(3) Displacement of particle after half second will be 35/4 m.
(4) None of these
16. Ratio of the ranges of the bullets fired from a gun (of constant muzzle speed) at angle , 2 & 4 is
found in the ratio x : 2 : 2, then the value of x will be (Assume same muzzle speed of bullets)
(1) 1 (2) 2 (3) 3 (4) None of these

17. A particle is projected with a speed 10 2 m/s making an angle 45º with the horizontal. Neglect the
effect of air friction. Then after 1 second of projection. Take g = 10 m/s2
(1) the height of the particle above the point of projection is 5 m.
(2) the height of the particle above the point of projection is 10 m.
(3) the horizontal distance of the particle from the point of projection is 5 m.

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 (4) the horizontal distance of the particle from the point of projection is 15 m.

18. The vertical height of the projectile at time t is given by y = 4t – t2 and the horizontal distance
covered is given by x = 3t. What is the angle of projection with the horizontal?
(1) tan–1 3/5 (2) tan–1 4/5 (3) tan–1 4/3 (4) tan–1 3/4

19. A particle A is projected with speed VA from a point making an angle 60º with the horizontal. At the
same instant, second particle B (lie in the same horizontal plane) is thrown vertically upwards from a
point directly below the maximum height point of parabolic path of A, with velocity VB. If the two
particles collide then the ratio of VA/VB should be:
(1) 1 (2) 2 / 3 (3) 3 / 2 (4) 3

20. For ground to ground projectile motion equation of path is y = 12x – 3/4x2. Given that g = 10 ms–2.
What is the range of the projectile?
(1) 36m (2) 30.6 m (3) 16 m (4) 12.4 m

21. A particle is projected with speed 10 m/s at angle 60° with the horizontal. Then the time after which
its speed becomes half of initial:
1
(1) sec (2) 1 sec (3) 3 / 2 sec (4) 3 / 2 sec
2

22. A ball is projected horizontally with a velocity of 5 m s–1 from the top of a building 19.6 m high.
How long will the ball take to hit the ground?
(1) 2 s (2) 2 s (3) 3 s (4) 3 s

23. A bomb is dropped from an aeroplane when it is at a height h directly above the target. If the
aeroplane is moving horizontally with a speed v, the distance by which the bomb will miss the target
is given by
h h 2h h
(1) 2v (2) v (3) v (4) v
g g g 2g

24. Two projectiles A and B are projected with same speed at an angle 30° and 60° to the horizontal,
then which of the following is not valid. Where T is total time of flight, H is maximum height and R
is horizontal range.
(1) HA = 3HB (2) TB = 3 TA (3) RA = RB (4) HB = 3HA

25. A stone projected at angle ‘’ with horizontal from the roof of a tall building falls on the ground after
three second. Two second after the projection it was again at the level of projection. Then the height
of the building is:
(1) 5 m (2) 25 m (3) 20 m (4) 15 m

26. The maximum height attained by a projectile thrown over a horizontal ground is increased by 5%,
keeping the angle of projection constant. What is the percentage increase in the horizontal range?
(1) 20% (2) 15% (3) 10% (4) 5%

27. A projectile is thrown with a velocity of 20 m/s at an angle of 60º with the horizontal. After how
much time the velocity vector will make an angle of 45º with the horizontal (take g = 10 m/s2):
(1) 3 sec (2) 1/ 3 sec (3) ( 3  1)sec (4) ( 3  1)sec

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28. A pebble is thrown horizontally from the top of a 20 m high tower with an initial velocity of 10 m/s.
The air drag is negligible. The speed of the pebble when it is at the same distance from top as well as
base of the tower (g = 10 m/s2)
(1) 10 2 m / s (2) 10 3 m / s (3) 20 m/s (4) 25 m/s

29. Man A is sitting in a car moving with a speed of 54 km/hr observes a man B in front of the car
crossing perpendicularly a road of width 15 m in three seconds. Then the velocity of man B (in m/s)
will be:
 (1) 5 10 towards the car at some angle (2) 5 10 away from the car at some angle
(3) 5 perpendicular to the road (4) 15 along the road

30. A particle is projected under gravity at an angle of projection 45° with horizontal. Its horizontal
range is 36 m. Find maximum Height attained by particle.

1. (2) 2. (4) 3. (2) 4. (4) 5. (1)

6. (1) 7. (1) 8. (3) 9. (3) 10. (3)
11. (2) 12. (1) 13. (2) 14. (3) 15. (4)
31. (4) 32. (1) 33. (3) 34. (2) 35. (3)
36. (4) 37. (2) 38. (3) 39. (1) 40. (4)
41. (4) 42. (4) 43. (2) 44. (2) 45. 9