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Mastering Motion: A Complete 29-MCQ Guide to One-Dimensional Kinematics

Kinematics—the study of motion without considering its cause—is one of the most fundamental areas of physics. From falling objects to vertically projected bodies, from lift problems to relative motion and time-distance relationships, the concepts here form the backbone of advanced mechanics.

This post compiles 29 high-quality MCQs on vertical motion, equations of motion, free-fall, deceleration, time of flight, relative separation, collisions, stopping distances, and displacement-time calculus.
Each question includes all options and the correct answer, making it ideal for exam preparation (JEE, NEET, CUET, boards, Olympiads).

29 MCQs with Options + Correct Answers

1. A parachutist falls 50 m freely, then decelerates to land at 3 m/s. Height he bailed out from is:

a) 182 m
b) 111 m
c) 293 m
d) 50 m

Answer: c

2. A ball is dropped from height h and another from 2h. Time ratio:

a) 1 : √2
b) √2 : 1
c) 2 : 1
d) 1 : 2

Answer: a

3. Two balls are released at same time; one dropped, one thrown downward with 2 m/s. Separation 22 m after:

a) 1 s
b) 2 s
c) 4 s
d) 5.5 s

Answer: a

4. A body thrown up from 125 m reaches 250 m. Velocity at 70 m:

a) 30 m/s
b) 25 m/s
c) 80 m/s
d) 60 m/s

Answer: d

5. Man in lift: upward speed 2 m/s, downward 4 m/s. Ratio of apparent weights:

a) 0.5
b) 1
c) 2
d) None

Answer: b

6. Ball dropped from 100 m, second thrown up to meet midway. Upward throw speed is:

a) 31.6 m/s
b) 27.8 m/s
c) 28.6 m/s
d) 26.4 m/s

Answer: a

7. Second ball thrown 2s later from 176.4 m to meet dropped ball. Initial velocity:

a) 24.5 m/s
b) 49 m/s
c) 14.5 m/s
d) 24.5 m/s

Answer: d

8. A person throws balls upward every 1 second. Height reached (g = 10):

a) 20 m
b) 5 m
c) 7.5 m
d) 10 m

Answer: b

9. A 0.05 kg stone thrown upward. Net force during the rise:

a) 0.98 N downward
b) 0.49 N downward
c) 9.8 N downward
d) 0.49 N upward

Answer: b

10. Stone thrown upward from tower reaches ground at 3v. Tower height:

a) 6v²/g
b) 4v²/g
c) 9v²/g
d) 8v²/g

Answer: b

11. Lift problem: Catch time 3s upward and 1s downward. v =

a) 7.5 m/s
b) 9.0 m/s
c) 10.5 m/s
d) 12.5 m/s

Answer: a

12. Ball of 200 g thrown up from x = 2 m with 40 m/s. Angular momentum:

a) 6√4 Nm
b) 16 Nm
c) 8√2 Nm
d) 12 Nm

Answer: c

13. Two balls thrown upward 3s apart. Height where they collide:

a) 35 m
b) 30 m
c) 50 m
d) 40 m

Answer: c

14. 5 kg object thrown upward with 10 N air resistance. Ratio ascent : descent:

a) 1 : 1
b) √2 : √3
c) √3 : √5
d) 2 : 3

Answer: b

15. First ball reaches ground in 6 s, second in 1.5 s. Third released from rest takes:

a) 3 s
b) 1.5 s
c) 2.25 s
d) 2 s

Answer: a

16. Ball dropped from 10 m. Height where |v| = g:

a) 5 m
b) 10 m
c) 15 m
d) 20 m

Answer: a

17. Time relation for completing first half and second half distances:

a) t₁ = √2 t₂
b) t₁ = (√2 – 1)t₂
c) t₂ = (√2 + 1)t₁
d) t₂ = (√2 – 1)t₁

Answer: d

18. Time at height h/3 (upwards : downwards):

a) (√2−1)/(√2+1)
b) (√3−√2)/(√3+√2)
c) (√3−1)/(√3+1)
d) 1/3

Answer: b

19. Ball dropped at t=0; second ball thrown at t=6; meet at t=18.5. v =

a) 75 m/s
b) 55 m/s
c) 60 m/s
d) 40 m/s

Answer: a

20. Body falls 60 m in last 2 seconds. Height of tower:

a) 95 m
b) 60 m
c) 80 m
d) 90 m

Answer: c

21. Car stops in 6 m at 50 km/h. Stopping distance at 100 km/h:

a) 12 m
b) 18 m
c) 24 m
d) 6 m

Answer: c

22. Car stops in 20 m at 60 km/h. Stopping distance at 120 km/h:

a) 20 m
b) 40 m
c) 60 m
d) 80 m

Answer: d

23. Resultant of two forces F is also F. Angle between them:

a) 45°
b) 120°
c) 150°
d) 60°

Answer: b

24. v = A + Bt². Distance from t=1 to t=2:

a) 3A + 7B
b) (2/3)A + 7B
c) (2A + B)/3
d) (2/3)A + (4/3)B

Answer: b

25. s = t³ − 6t² + 3t + 4. Velocity when acceleration is zero:

a) 3 m/s
b) 12 m/s
c) 42 m/s
d) –9 m/s

Answer: b

26. x = ae⁻ᵅᵗ + beᵝᵗ. Velocity:

a) decreases
b) independent of α and β
c) zero when α = β
d) increases

Answer: d

27. Uniform acceleration 6 m/s² from rest. Distance in 4th second:

a) 21 m
b) 35 m
c) 53 m
d) 12 m

Answer: a

28. v = kt, k = 2. Distance in first 3 seconds:

a) 9 m
b) 16 m
c) 27 m
d) 36 m

Answer: a

29. Distance in 1st, 2nd, 3rd second of free fall:

a) 1 : 0 : 2
b) 1 : 3 : 5
c) 1 : 4 : 9
d) None

Answer: b

Conclusion

These 29 MCQs represent the core concepts of one-dimensional motion, including relative motion, variable acceleration, vertical projection, lift dynamics, stopping distance laws, and displacement-velocity calculus.
Mastering these ensures a strong foundation for competitive exams and advanced physics topics.

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