Understanding relative motion, velocity, acceleration, and vector concepts is crucial for students preparing for competitive exams like JEE, NEET, KEAM, and board-level physics. This blog post brings together 30 carefully selected multiple-choice questions (MCQs) covering relative velocity, motion in a straight line, rain-man problems, train crossing, graph analysis, and center-of-mass acceleration.
These MCQs help build strong conceptual clarity while improving problem-solving speed.
In addition, this post includes the important keywords students often search for:
Relative velocity MCQs, motion in one dimension questions, train problems physics, rain-man relative motion, velocity-time graphs, acceleration problems, motion under constant power, average velocity problems, center of mass acceleration, kinematics MCQs with solutions.
30 MCQs With Options + Correct Answers
1. Two trains moving in opposite directions...
If wind speed is u and relative speed ratio is 1 : 2, speed of each train is:
a) 2u
b) 3u
c) 4u
d) 5u
Answer: a
2. Speed of A relative to B
A thrown up with speed u, B dropped from height h. Relative speed at time t:
a) u
b) 2u
c) u – gt
d) gt
Answer: a
3. Passenger train crossing freight train
Passenger: 60 m at 80 km/h
Freight: 120 m at 30 km/h
Ratio of crossing times (same direction : opposite direction):
a) 5/2
b) 5/11
c) 2/5
d) 2/11
Answer: c
4. Person in Train A seen from Train B
A → 36 km/h
B → 72 km/h
Person walks 1.8 km/h opposite to A
a) 29.5 m/s
b) 30.5 m/s
c) 31.5 m/s
d) 28.5 m/s
Answer: c
5. Velocity of midpoint of train
Engine passes with velocity u, last compartment with velocity v.
a) (v² + u²)/2
b) (v – u)/2
c) (u + v)/2
d) (v² – u²)/2
Answer: a
6. Coil & bar magnet: induced emf curve
a) (a)
b) (b)
c) (c)
d) (d)
Answer: b
7. Velocity of A relative to B at t = 1 s
A: 1 m/s along x
B: y = t³ (c = 1)
a) √10
b) 10
c) √35
d) 3
Answer: a
8. Correct v–t graph where v is linear in t
a) Plot A
b) Plot B
c) Plot C
d) Plot D
Answer: a
9. Train A overtaking B with acceleration
After 50 s, guard of B brushes past driver of A.
a) 1000 m
b) 1150 m
c) 1250 m
d) 1300 m
Answer: d
10. Bullet fired from police van
Van: 30 km/h
Thief: 192 km/h
Bullet muzzle speed: 150 m/s
a) 105 m/s
b) 120 m/s
c) 90 m/s
d) 110 m/s
Answer: b
11. Distance from semicircle velocity graph
a) 19 m
b) 7 m
c) 3.2 m
d) 4.75 m
Answer: a
12. Ranking acceleration periods
a) Θ₂ > Θ₁ > Θ₃
b) Θ₂ > Θ₃ > Θ₁
c) Θ₃ > Θ₂ > Θ₁
d) Θ₁ > Θ₂ > Θ₃
Answer: d
13. Rain-man problem: running at 5 km/h
Rain vertical when running
When standing, rain at 60°
a) √5
b) 2
c) √3
d) 5/√3
Answer: d
14. Reaction time braking problem
Car: 36 km/h, reaction time 0.9 s, a = 5 m/s²
a) 19 m
b) 9 m
c) 10 m
d) 28 m
Answer: a
15. Average velocity = 0.34 m/s, Δv = 0.18
a) 0.02 m/s²
b) 0.04 m/s²
c) 0.03 m/s²
d) 0.01 m/s²
Answer: b
16. Center of mass acceleration
Two identical particles: one at rest, one accelerates with a
a) a/2
b) a
c) 2a
d) 4a
Answer: a
17. Vehicle travels AB with midpoint C
t(AC) = 2 × t(CB)
a) 6u
b) 4u
c) 8u
d) 7u
Answer: c
18. Bullet penetration through targets
Velocity = 30√2 m/s
Penetrates 5 m normally
Through 2 m target, exit speed:
a) 10√2
b) 20
c) 30
d) 20√2
Answer: c
19. Umbrella at 30° problem
Running at 10 km/h
a) 20
b) 10√3
c) 20√3
d) 10
Answer: a
20. Average acceleration (east to north)
Change from (15 m/s East) → (15 m/s North)
a) 3 NE
b) 3√2 NE
c) 3 NW
d) 3√2 NW
Answer: a
21. Boy walking east — average velocity
a) 8
b) 6
c) 8/3
d) 2
Answer: b
22. Uniform acceleration: 24 m then 64 m
a) 3
b) 5
c) 1
d) 4
Answer: c
23. a = 6t + 5; displacement in 2 seconds
a) 20 m
b) 18 m
c) 16 m
d) 25 m
Answer: b
24. Realistic velocity-time graph
a) A
b) B
c) C
d) D
Answer: b
25. x(t) = 4t³ − 3t² + 2
At t = 2, acceleration & velocity
a) 16 & 22
b) 42 & 36
c) 48 & 36
d) 12 & 25
Answer: b
26. Particle along x: x = 40 + 12t − t³
Distance before coming to rest
a) 24 m
b) 40 m
c) 56 m
d) 16 m
Answer: c
27. Ratio of average velocity to average speed
a) Always < 1
b) Always = 1
c) Always > 1
d) ≤ 1
Answer: d
28. Two persons walking around a square
Side = 60 m; speeds 4 m/s & 2 m/s
a) 30 s
b) 40 s
c) 10 s
d) 20 s
Answer: b
29. Area under acceleration–time graph equals
a) Distance
b) Change in velocity
c) Force
d) Work
Answer: b
30. Boat travels triangular route
50 km east → 120 km north → back to start
Average velocity:
a) 0
b) 16.7
c) 17
d) 33.33
Answer: b
Conclusion
Mastering concepts like relative motion, acceleration, velocity-time graphs, train-crossing problems, and rain-man problems gives students a strong foundation in kinematics. These 30 MCQs present real exam-style challenges that help improve speed, accuracy, and conceptual understanding. With regular practice, students can confidently tackle physics questions in JEE, NEET, KEAM, and board exams.
