• Amal Augustine
• December 8, 2025

Mastering Velocity and Acceleration Numericals Graphs: 30 Essential Concept-Building MCQs for Competitive Exams

Understanding velocity and acceleration numericals is a fundamental part of kinematics—and an essential skill for students preparing for NEET, JEE, CUET, or any physics-intensive exam. These velocity and acceleration numericals problems test not only formula-based knowledge but also your ability to interpret graphs, vectors, calculus-based motion, and real-world kinematic situations.

From interpreting velocity–time graphs, analyzing motion on straight lines, understanding relative velocity, circular motion, retardation, projectile acceleration, and semi-circular plots, this carefully curated set of MCQs brings together the most exam-relevant patterns. Velocity and acceleration numericals reveal the hidden patterns behind motion, helping students understand how objects behave in real-life physical scenarios.

Each question sharpens your problem-solving ability, encourages conceptual clarity, and builds confidence for handling advanced kinematics challenges. The more you work through such velocity and acceleration numericals, the stronger your intuition becomes in physics.

Velocity & Acceleration Numericals Graphs: 30MCQs With Options & Answers

1. If an object is dropped from rest, the change in its velocity (V) is shown by

a) (a)
b) (b)
c) (c)
d) (d)
Answer: c

2. A car travels equal time at velocities v₁ and v₂. Average velocity is

a) v₁v₂
b) (v₁ + v₂)/2
c) (1/v₁ + 1/v₂)
d) (1/v₁ + 1/v₂)⁻¹
Answer: b

3. A person walks 2.5 km at 5 km/h and returns at 7.5 km/h. Average speed (0–50 min) is

a) 4 2/3
b) 5/3
c) 5/6
d) 1/3
Answer: b

4. For x = 5t³ + 3t² – 9, acceleration at t = 2 is

a) 31
b) 66
c) 29
d) 75
Answer: b

5. For x = (2/3)t³ + 16t + 3, time to come to rest is

a) 12 s
b) 24 s
c) 30 s
d) 36 s
Answer: b

6. If S = 6t + 3t², velocity after 2 s is

a) 6
b) 12
c) 18
d) 24
Answer: c

7. Curve describing motion with constant negative acceleration is

a) W
b) X
c) Y
d) Z
Answer: c

8. Boat speed 12 km/h, resultant 13 km/h → water speed is

a) 5 km/h
b) 7 km/h
c) 9 km/h
d) 1 km/h
Answer: a

9. Quantity remaining constant when ball is thrown upward

a) Displacement
b) Kinetic energy
c) Acceleration
d) Velocity
Answer: c

10. Shaded area under velocity–time graph represents

a) Momentum
b) Acceleration
c) Distance covered
d) Speed
Answer: c

11. Velocity–time plot represents

a) Circular motion
b) Accelerated motion with initial velocity
c) Decelerated motion with initial velocity
d) Decelerated motion with zero initial velocity
Answer: c

12. Semi-circle v–t graph, distance covered in 7 s

a) 19 m
b) 7 m
c) 3.2 m
d) 4.75 m
Answer: a

13. For uniform acceleration along AB = BC, average velocity for A → C is

a) 12
b) 12.5
c) 13
d) 13.5
Answer: a

14. Straight line parallel to time axis in distance–time graph shows

a) Accelerated motion
b) Decelerated motion
c) Uniform non-zero velocity
d) Zero velocity
Answer: d

15. Resultant acceleration for forces 3 N on x-axis & 4 N on y-axis

a) 7 m/s²
b) 1 m/s²
c) 5 m/s²
d) √7 m/s²
Answer: c

16. Segment showing retardation in velocity-time graph

a) AB
b) BC
c) CD
d) None
Answer: b

17. Brass ball in circular motion – correct statements

a) 1 only
b) 1 and 3
c) 1, 2 and 4
d) 2 and 4 only
Answer: d

18. Car accelerates from rest to 50 m/s in 25 s → distance is

a) 625 m
b) 1250 m
c) 2500 m
d) 50 m
Answer: a

19. Train length 150 m, bird 5 m/s opposite direction → time to cross

a) 12 s
b) 8 s
c) 15 s
d) 10 s
Answer: d

20. Angle made by vector 3i + 3j

a) 30°
b) 60°
c) 180°
d) 45°
Answer: d

21. For circular path, change in velocity from A → B is

a) 2v sin(θ/2)
b) v sinθ
c) v sin(2θ)/2
d) 2v sinθ
Answer: a

22. Two cars 30 km/h same direction, car C meets them 8 min apart → speed of C

a) 45 km/h
b) 40 km/h
c) 15 km/h
d) 30 km/h
Answer: a

23. Light speed relative to observer when source recedes at v

a) c
b) c + v
c) c – v
d) √(c² + v²)
Answer: a

24. Current 1 A in tangent galvanometer → deflection

a) 60°
b) 45°
c) 30°
d) None
Answer: b

25. Balloon rising at 5 m/s, stone thrown up at 10 m/s → velocity after 2 s

a) 0
b) 20 m/s
c) 10 m/s
d) 5 m/s
Answer: d

26. Plane flying at 150 km/h in circle → change in velocity in half revolution

a) 150
b) 100
c) 200
d) 300
Answer: d

27. 500 kg boat, 100 kg man runs to other end → boat displacement

a) 1.5 m same direction
b) 0.75 m same direction
c) 1.5 m opposite
d) 0.75 m opposite
Answer: c

28. Scooter east 10 m/s turns right 90° → change in velocity

a) 20 m/s SW
b) Zero
c) 10 m/s south
d) 14.14 m/s SW
Answer: d

29. Rain 3 km/h vertical, man 4 km/h horizontal → relative velocity

a) 5 km/h
b) 4 km/h
c) 1 km/h
d) 3 km/h
Answer: a

30. Train 150 m, bird 5 m/s opposite → crossing time

a) 6 s
b) 7.5 s
c) 10 s
d) 30 s
Answer: a

Conclusion

Mastering velocity and acceleration numericals is crucial for problem-solving in competitive physics. These velocity and acceleration numericals MCQs help students refine their understanding of graphs, kinematics equations, variable acceleration, circular motion, and vector analysis—skills that form the backbone of advanced mechanics.

Consistent practice with such conceptual and multi-step problems ensures stronger exam performance and builds the intuition required for higher-level physics.Velocity and acceleration numericals are more than just mathematical exercises—they are the foundation of understanding how objects move in the real world.