Understanding accelerated motion numericals is a core part of mastering physics for NEET, JEE, CUET, and CBSE Class 11. Whether it’s uniform acceleration, variable acceleration, circular motion, vector components, or interpreting kinematics graphs—students often struggle when equations meet real-world scenarios.

To simplify these ideas, this post presents 30  carefully curated accelerated motion numericals MCQs spanning displacement-time relations, v–t and a–t graphs, parabolic motion, Newton’s laws, free fall, circular motion, force–displacement relations, and vector velocity analysis. These questions reflect actual patterns from competitive exams and help strengthen both conceptual clarity and problem-solving speed.

Accelerated motion numericals are some of the most insightful tools for understanding how velocity and displacement evolve under the influence of changing forces. These problems challenge students to connect mathematical models—such as quadratic displacement equations and linear or nonlinear velocity functions—with real physical situations.

Dive into these thoughtfully structured accelerated motion numericals problems and sharpen your exam-readiness with confidence.

30 MCQs on Accelerated Motion Numericals (With Alphabetically Ordered Options)

1. The position of a particle is given by

r⃗=2t i^+3t j^+4 k^\vec{r}=2t\,\hat{i}+3t\,\hat{j}+4\,\hat{k}r=2ti^+3tj^​+4k^

The acceleration at t = 1 s is:
a. 4 m/s² along x-direction
b. 4 m/s² along y-direction
c. 2 m/s² along z-direction
d. 3 m/s² along x-direction
Correct: a

2. A passenger getting down from a moving bus falls forward due to—

a. Inertia of motion
b. Moment of inertia
c. Newton’s second law
d. Newton’s third law
Correct: a

3. Free fall in vacuum is a case of—

a. Constant momentum
b. Uniform acceleration
c. Uniform velocity
d. Variable acceleration
Correct: b

4. A body crosses points A and B with speeds 20 m/s and 30 m/s. Speed at midpoint AB is nearest to—

a. 25.5 m/s
b. 22 m/s
c. 24 m/s
d. 25 m/s
Correct: a

5. A force F = kx acts on a particle. Energy gained from x = 0 to x = 3 is—

a. 2k
b. 3.5k
c. 4.5k
d. 9k
Correct: c

6. An object is dropped from rest. Its v-t graph is—

a. Graph a
b. Graph b
c. Graph c
d. Graph d
Correct: a

7. Area under acceleration–time graph gives—

a. Change in velocity
b. Change in acceleration
c. Distance travelled
d. Force acting
Correct: a

8. For a parabola representing constant acceleration:

a. X = time, Y = acceleration
b. X = time, Y = displacement
c. X = time, Y = velocity
d. X = velocity, Y = time
Correct: b

9. Two people walk around a 60 m square in opposite directions at 4 m/s and 2 m/s. They meet after—

a. 10 s
b. 20 s
c. 30 s
d. 40 s
Correct: b

10. The correct v-t graph for the given a-t graph is—

a. Graph a
b. Graph b
c. Graph c
d. Graph d
Correct: c

11. In free fall, v/g ratio is—

a. always equal to one
b. always less than one
c. always more than one
d. equal to or less than one
Correct: d

12. Waves 100 m apart rock a boat at 25 m/s. Time between bounces—

a. 0.25 s
b. 4 s
c. 75 s
d. 2500 s
Correct: b

13. A person pushes a load with constant velocity. The surface is—

a. Graph a
b. Graph b
c. Graph c
d. Graph d
Correct: a

14. A particle thrown vertically with 4 m/s. Ratio of accelerations at 1s and 2s—

a. 1
b. 2
c. 4.9
d. 9.8
Correct: c

15. A person in an upward accelerating lift has weight—

a. equal to actual weight
b. less than actual weight
c. more than actual weight
d. none
Correct: c

16. A particle moves in a circle of radius 30 cm with v = 2t. Radial and tangential acceleration at t = 3 s:

a. 100 m/s², 5 m/s²
b. 110 m/s², 10 m/s²
c. 120 m/s², 2 m/s²
d. 200 m/s², 50 m/s²
Correct: c

17. Rope breaking strength is nW. Max safe acceleration is—

a. g(1 − n)
b. b(1 − n)
c. g
d. g/(1 − n)
Correct: a

18. Area under a-s graph gives—

a. change in KE per unit mass
b. impulse
c. momentum change per unit mass
d. total energy
Correct: a

19. Object moves east 2 s at 15 m/s, then north 8 s at 5 m/s. Average velocity—

a. 5 m/s
b. 7.5 m/s
c. 15 m/s
d. 30 m/s
Correct: a

20. A body accelerates from 10 m/s to 25 m/s in 5 s northwards. Acceleration—

a. 3 m/s² (north)
b. 3 m/s² (south)
c. 12 m/s² (north)
d. 15 m/s² (north)
Correct: a

21. A body starting from rest travels 110 cm in 9th second. Acceleration—

a. 0.13 m/s²
b. 0.16 m/s²
c. 0.18 m/s²
d. 0.34 m/s²
Correct: a

22. Uniform motion represented by—

a. Graph a
b. Graph b
c. Graph c
d. Graph d
Correct: a

23. Half distance at 40 km/h, half at 60 km/h. Average speed—

a. 48 km/h
b. 50 km/h
c. 24 km/h
d. 120 km/h
Correct: a

24. Coordinates x = at², y = bt². Speed—

a. 2t(a + b)
b. 2t √(a² + b²)
c. √(a² + b²)
d. 2t √(a² − b²)
Correct: b

25. For x = 2t² + t + 5, acceleration at t = 2 s—

a. 4 m/s²
b. 8 m/s²
c. 10 m/s²
d. 15 m/s²
Correct: a

26. Motorcycle on curved track (r = 500 m, μ = 0.5). Max speed—

a. 10 m/s
b. 50 m/s
c. 250 m/s
d. 500 m/s
Correct: b

27. At highest point of projectile—

a. acceleration ∥ velocity
b. acceleration ⟂ velocity
c. acceleration ∥ opposite velocity
d. no fixed relationship
Correct: b

28. Distance–time graph for uniformly increasing speed—

a. Graph a
b. Graph b
c. Graph c
d. Graph d
Correct: a

29. Average velocity for constant acceleration—

a. u + ½at
b. u/2
c. u + at
d. (u + at)/2
Correct: d

30. A bus accelerates at 1 m/s²; a man 48 m behind runs at 10 m/s. Catching time—

a. 3 s
b. 5 s
c. 6 s
d. 8 s
Correct: d

Conclusion

Mastering accelerated motion numericals builds the foundation for every major physics topic—projectile motion, circular motion, work-energy, friction, and even electromagnetism. These 30 accelerated motion numericals MCQs reflect the real cognitive load of NEET, JEE, and CUET examinations where conceptual depth matters as much as calculation speed. Consistent practice with mixed-concept problems like these helps students recognise patterns, analyse graphs instantly, and apply formulas with accuracy.

Ultimately, mastering accelerated motion numericals equips learners with the analytical strength required for topics like rotational dynamics, electromagnetism, fluid mechanics, and even astrophysics. It transforms understanding of physics from formula-dependent to concept-driven, empowering them to solve even the toughest kinematics questions and accelerated motion numericals with ease.

Solving more accelerated motion numericals strengthens a student’s ability to translate physical motion into mathematical form, which is crucial for success in advanced physics. With systematic practice of accelerated motion numericals—identifying known values, selecting the correct formulas, and analyzing graphs—learners build strong confidence and problem-solving skills.

Continue solving accelerated motion numericals, stay consistent, and let these questions sharpen your problem-solving instinct for competitive exams.