Advanced Kinematics Problems: 30 MCQs (With Answers)
1. Ratio of accelerations from v–t graph
Options:
a) √3 : 1
b) 1 : √3
c) 3 : 1
d) 1 : 3
Answer: d
2. Scooterist overtaking a bus
Options:
a) 20 m/s
b) 25 m/s
c) 60 m/s
d) 30 m/s
Answer: d
3. Retardation from displacement equation
Options:
a) 24 m/s²
b) zero
c) 6 m/s²
d) 12 m/s²
Answer: d
4. Distance from speed–time graph
Options:
a) 20 m
b) 30 m
c) 40 m
d) 60 m
Answer: d
5. Speedometer measures
Options:
a) Average speed
b) Average velocity
c) Instantaneous speed
d) Instantaneous velocity
Answer: c
6. Initial velocity from s = 3 – 4t + 5t²
Options:
a) 3 units
b) –3 units
c) 4 units
d) –4 units
Answer: d
7. When velocity becomes zero at t = 2
Options:
a) Displacement must be zero
b) Acceleration may be zero
c) Velocity must remain zero
d) Acceleration must be zero
Answer: d
8. Average acceleration
Options:
a) 3.4 m/s²
b) 3.5 m/s²
c) 3.6 m/s²
d) 3.7 m/s²
Answer: c
9. Force exerted after landing
Options:
a) W
b) 2W
c) 3W
d) 4W
Answer: c
10. Average velocity from v–t graph
Options:
a) 20/7
b) 18/7
c) 36/7
d) 12/7
Answer: b
11. Velocity at t = 2 for s = 8t³ – 2t² + 6t + 7
Options:
a) 108
b) 57
c) 94
d) 41
Answer: c
12. Average speed for three equal segments
Options:
a) 12 km/h
b) 18 km/h
c) 24 km/h
d) 30 km/h
Answer: b
13. Time before stopping under velocity-dependent retardation
Options:
a) √(v₀/b)
b) 2√(v₀/b)
c) 3√(v₀/b)
d) v₀/b
Answer: b
14. Free fall average velocity (10 s)
Options:
a) 100 m/s
b) 10 m/s
c) 50 m/s
d) 5 m/s
Answer: c
15. Ratio of accelerations of A and B from graph
Options:
a) sin 25° : sin 50°
b) tan 25° : tan 40°
c) cos 25° : cos 50°
d) tan 25° : tan 50°
Answer: d
16. Average speed (30 km/h & 20 km/h)
Options:
a) 25 km/h
b) 24 km/h
c) 50 km/h
d) 10 km/h
Answer: b
17. Zero-acceleration x–t graph
Options:
a) Graph A
b) Graph B
c) Graph C
d) Graph D
Answer: c
18. Invalid speed–time graph
Options:
a) (A) and (D)
b) (C) and (E)
c) (D) only
d) (A) only
Answer: d
19. Area under displacement–force curve
Options:
a) Distance travelled
b) Total force
c) Momentum
d) Work done
Answer: d
20. Uniform acceleration graph
Options:
a) Graph A
b) Graph B
c) Graph C
d) Graph D
Answer: b
21. Acceleration for v = √(180 – 16x)
Options:
a) zero
b) 8 m/s²
c) –8 m/s²
d) 4 m/s²
Answer: c
22. Acceleration at t = 4 for x = t³ – 2t
Options:
a) 12
b) 22
c) 24
d) 26
Answer: c
23. Under acceleration what may remain constant?
Options:
a) Both speed & velocity
b) Neither
c) Only velocity
d) Only speed
Answer: d
24. Displacement ∝ t² implies
Options:
a) Velocity is constant
b) Velocity varies non-uniformly
c) Acceleration is constant
d) Acceleration changes continuously
Answer: c
25. Scooterist overtaking bus (repeat context)
Options:
a) 20 m/s
b) 25 m/s
c) 60 m/s
d) 30 m/s
Answer: d
26. Speed of particle (x = 4t², y = 3t²)
Options:
a) 10t
b) 5t
c) 3t
d) 2t
Answer: a
27. Height of roof from v–t graph
Options:
a) 50 m
b) 40 m
c) 20 m
d) 30 m
Answer: b
28. Average speed (mixed speeds)
Options:
a) 5
b) 5.5
c) 5.8
d) 4
Answer: c
29. Aircraft speed from angle subtended
Options:
a) 19.63 m/s
b) 1963 m/s
c) 108 m/s
d) 196.3 m/s
Answer: d
30. Man catching bus
Options:
a) 6 s
b) 5 s
c) 3 s
d) 8 s
Answer: d
Conclusion
Mastering Advanced Kinematics Problems is essential for students aiming to score high in competitive exams like NEET and JEE. These advanced kinematics problems questions cover every crucial area—graph interpretation, average speed, equations of motion, retardation, and acceleration under different conditions. Consistent practice not only strengthens conceptual understanding but also improves speed and problem-solving accuracy. With these 30 advanced kinematics problems well-designed problems and solutions, students can confidently approach straight-line motion questions and build a strong foundation for all higher-level physics topics.
The skills developed through Advanced Kinematics Problems extend far beyond the classroom. From analysing traffic motion to understanding aircraft trajectories, the principles of one-dimensional motion help explain real-world phenomena. These advanced kinematics problems MCQs expand your ability to visualise motion, interpret patterns, and make quick decisions—skills that remain useful in academics and daily life. Keep practising, keep exploring, and let your understanding of motion become a strong foundation for the rest of physics.