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Projectile Motion Numerical MCQs: Fully Solved Questions for Competitive Exams

Projectile motion numerical mcqs is one of the most frequently tested topics in Physics, especially in exams like NEET, JEE, CUET, SSC, NDA, and state board entrance tests. Understanding how projectile motion numerical mcqs move in two dimensions—under constant gravitational acceleration—is essential for solving real-world physics problems and competitive exam numericals.

Projectile motion numerical MCQs help aspirants master the relationship between horizontal range, time of flight, and maximum height by applying formulas in real-world scenarios.These questions strengthen conceptual clarity by teaching learners how velocity splits into horizontal and vertical components during parabolic motion.Aspirants often realise that projectile motion problems become simpler once they understand that horizontal velocity remains constant while vertical velocity continuously changes due to gravity.Projectile numerical MCQs also highlight how initial speed and angle of projection work together to determine the shape and reach of the trajectory.By solving a variety of projectile problems, learners develop strong analytical skills needed for NEET, JEE, CUET, and competitive physics examinations.

This guide presents a comprehensive set of Projectile Motion Numerical MCQs with answers, helping students strengthen conceptual clarity and improve their problem-solving accuracy. Each projectile motion numerical mcqs  question tests an important principle such as range, time of flight, velocity components, trajectory equations, and collision of projectiles.

Table of Contents

Projectile Motion Numerical MCQs With Options and Answers

1. From the ground, a projectile is fired at 60° with speed 20 m/s. Horizontal range is:

a) 10√3 m
b) 20 m
c) 20√3 m
d) 40√3 m
Answer: c


2. Vertical component of velocity at maximum height is:

a) u sin θ
b) u cos θ
c) u/sin θ
d) zero
Answer: d


3. Ball reaches another player in 2 s. Maximum height is:

a) 2.5 m
b) 5 m
c) 7.5 m
d) 10 m
Answer: b


4. Ball hit at 45° with kinetic energy Ek. KE at highest point is:

a) Ek
b) Ek/2
c) Ek/√2
d) zero
Answer: b


5. Boy in moving car throws ball vertically. It falls:

a) outside the car
b) ahead of the boy
c) beside the boy
d) exactly in his hand
Answer: d


6. Bullet falls at half its maximum range. Angle of projection is:

a) 45°
b) 60°
c) 30°
d) 15°
Answer: c


7. Projectile has velocity (i + 2j) m/s. Path equation is:

a) y = 2x – 5x²
b) y = x – 5x²
c) 4y = 2x – 5x²
d) y = 2x – 25x²
Answer: a


8. For y = √3 x − gx²/2, angle of projection satisfies:

a) tanθ = 1/√3
b) tanθ = √3
c) tanθ = π/2
d) zero
Answer: b


9. Maximum range occurs when θ =

a) 0°
b) 30°
c) 45°
d) 90°
Answer: c


10. For projectile A (30°), projectile B meets it if v₂ is:

a) 1
b) 2
c) 2√1
d) 4
Answer: c


11. Stone at 25 m/s clears a 5 m wall at t = 2s. Angle is:

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


12. Same range R occurs when:

a) θ = 180° – β
b) θ = 90° – β
c) θ = 45° + β
d) θ = 60° + β
Answer: b


13. Projectile at 30° gives R; at 60° gives:

a) R
b) 2R
c) 2√R
d) √R
Answer: a


14. Which projectile lands first (same speed, 40° vs 50°)?

a) A
b) B
c) Both
d) None
Answer: a


15. Angle between velocity v and acceleration g:

a) 90°
b) 0°
c) 90° < θ < 0°
d) 0° < θ < 180°
Answer: d


16. Monkey-drop problem:

a) Bullet never hits
b) Bullet always hits
c) May or may not hit
d) Cannot predict
Answer: b


17. Largest range among 27°, 39°, 43°, 51°:

a) 27°
b) 39°
c) 43°
d) 51°
Answer: c


18. True statement about projectile:

a) Vertical momentum constant
b) Horizontal momentum constant
c) PE minimum at top
d) KE zero at top
Answer: b


19. Maximum range formula is:

a) u² sinθ / g
b) u² sin2θ / (2g)
c) u² sin2θ / g
d) u² cos2θ / g
Answer: c


20. 1.5 kg ball at 34° and 20 m/s. Max height is:

a) 6.3 m
b) 9.4 m
c) 13.8 m
d) 11.2 m
Answer: a


21. Cricketer throws at 30 m/s. Max range:

a) 100 m
b) 90 m
c) 80 m
d) 90√2 m
Answer: b


22. For two bodies projected from A and B: v₂/v₁ =

a) 0.5
b) 1
c) √3/2
d) 2/√3
Answer: a


23. Arrow range 200 m, time 5 s. Horizontal velocity =

a) 12.5 m/s
b) 25 m/s
c) 31.25 m/s
d) 40 m/s
Answer: d


24. Bomb dropped from aircraft follows:

a) parabola
b) straight line
c) circle
d) hyperbola
Answer: a


25. Horizontal velocity vs time graph (no air resistance):

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


26. Two masses projected up and down with same speed. At ground:

a) v(A) > v(B)
b) v(B) > v(A)
c) both equal
d) heavier has more velocity
Answer: c


27. Projectile with KE = E at 60°. KE at top:

a) 2E
b) 8E
c) 4E
d) 16E
Answer: c


28. Horizontal velocity during projectile:

a) increases then decreases
b) decreases then increases
c) always increases
d) always constant
Answer: d


29. Object thrown up at 30 m/s. Velocity 0.5 s before max height:

a) 4.9 m/s
b) 9.8 m/s
c) 19.6 m/s
d) 25.1 m/s
Answer: a


30. Bodies at 30°, 45°, 60° with same speed. Maximum range:

a) C
b) B
c) A
d) A & B
Answer: b

projectile motion numerical mcqs

Conclusion

Projectile motion numerical mcqs remains one of the most important concepts in kinematics because it beautifully connects algebra, geometry, and physics. By understanding how horizontal and vertical components operate independently under uniform gravity, students can solve even the toughest projectile motion numerical MCQs with confidence. Competitive exams such as NEET, JEE, CUET, NDA, and SSC frequently test projectile motion numerical mcqs  concepts like maximum range, time of flight, angle of projection, relative motion, energy at different points, and trajectory equations — making strong conceptual clarity essential.

Projectile motion numericals also emphasize important physical insights—for example, the moment a body reaches maximum height, its vertical velocity becomes zero but horizontal velocity remains unchanged.Students who regularly practice projectile MCQs gain a strong command over relative velocity, inclination angles, and vector components used in advanced physics chapters.Since many competitive exams include tricky situations such as moving platforms, walls, or moving observers, these MCQs help prepare students for real exam complexity.Such problems also encourage learners to visualize motion diagrams, which significantly improves accuracy when answering time-of-flight or range-based questions.

Practising these Projectile Motion Numerical MCQs equips learners with the analytical thinking required to tackle real exam questions efficiently. As students solve diverse problem types — from riverboat motion to collision of projectiles, from vertical velocity calculations to graphical interpretations — they develop a deeper intuitive understanding of projectile motion numerical  mcqs under gravity. With regular revision of projectile motion numerical mcqs and exposure to variety-based questions, mastering projectile motion numerical mcqs becomes not just achievable, but enjoyable.

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