Kinematics questions

1. 1. Which of the following distance-time graphs is correct?

2. 2. Displacement-time graph is shown in the figure.
The corresponding distance-time graph is

3. 3. Find the average speed in time interval t=2s to t =10s.
(a) 1ms-2
(b) 0.5 ms-1
(c) 0.25ms-1
(d) 0.2ms-1

4. 4. Find average velocity in time interval t = 0 to t = 5s.
(a) 10ms-1
(b) 20 ms-1
(c) 30ms-1
(d) 25ms-1

5. 5. A particle is moving on a straight line whose a –t graph is shown in the figure. At t=0,
the velocity of the particle is -2 ms-1
. Find velocity of the particle at t = 4s.
(a) 10ms-1
(b) 10.5 ms-1
(c) 12.5 ms-1
(d) 14.5 ms-1

6. 6. A particle starts from rest. Its acceleration (a) versus time (t) is shown in the figure. The
maximum speed of the particle will be
(a) 110ms-1
(b) 55ms-1
(c) 550ms-1
(d) 660ms-1

7. 7. A particle starts form rest, whose acceleration versus displacement graph is shown in
the figure. The velocity of the particle at S = 15m is
(a) 5ms-1
(b) 5√𝟑 ms-1
(c)
𝟓
√𝟐
ms-1
(d) zero

8. 8. A particle is moving on straight line whose velocity-displacement graph is shown in
figure. At point P of graph, v = √𝟑 ms-1
and slope is -√𝟑. The magnitude of acceleration
at point P is.
(a) Zero (b) 2√𝟑 ms-2
(c) 3 ms-2
(d) 1ms-2

9. 9. If position-time graph of a particle is sine curve as shown in the figure. The
corresponding acceleration-time graph is

10. 10. A particle of mass m is at time t = 0. It is subjected to a force F(t) = F0e-bt
in the X-
direction. Its speed v (t) is depicted by which of the following curves?

11. 11. If a particle is moving on a straight line, then its velocity-time graph is sinusoidal as
shown in the figure. Find distance (in m) travelled by the particle in 2 s.

12. 12. The given graph shows the variation of velocity with displacement. Which one of the
graphs given below correctly represents the variation of acceleration with
displacement?
(a) (b) (c) (d)

13. 13. A particle is moving on straight line whose acceleration versus velocity graph is shown
in the figure. Which of the following graphs are correct?

14. 14. A particle moves on a straight line whose square of velocity versus displacement graph
is shown.
Mark the correct option(s).
(a) The particle stops after 6 s
(b) The acceleration of particle is – 2 ms-2
(c) Its velocity-time graph is a parabola
(d) Its displacement-time graph is straight line

15. Passage I
Direction (Q. Nos.15-20) This section contains 2 paragraphs, each describing theory,
experiments, data, etc. Six questions related to the paragraphs have been given. Each
question has only one correct answer among the four given options (a), (b), (c) and (d).
A particle starts from rest whose acceleration-time graph is shown in the figure.

16. 15. The velocity-time graph for particle is
(a) (b) (c) (d)

17. 16. The velocity of particle at t = 4s is
(a) 1ms-1
(b) 6 ms-1
(c) 7 ms-1
(d) 10 ms-1

18. 17. Find distance travelled by particle is 4 s.
(a) 12m (b) 12.33m (c) 14 m (d) 20m

19. 18. The velocity-time graph is
(a) (b) (c) (d)

20. 19. Find the distance travelled by train in time t0.
(a) 100m (b) 200m (c) 300m (d) 50m

21. 20. The displacement-time graph is
(a) (b) (c) (d)