⚛️ Physics · Motion in a Plane · NEET & JEE

A stone dropped from height h hits the ground with speed v. From what height should it be dropped to hit with speed 2v?

Answer: 4h.

A 2h
B 3h
C 4h
D 8h

Correct answer: C. 4h

Explanation: v² = 2gh → h ∝ v². For speed 2v: h' = (2v)²/(2g) = 4v²/(2g) = 4h.

Projectile trajectories launched at 15, 30, 45, 60, 75 and 90 degrees at the same speed, each annotated with range R, maximum height H and time of flight T, with coloured dots marking equal time intervals

Projectiles at equal speed: range is maximum at 45°, and complementary angles (30° and 60°) share the same range. Image: Cmglee, CC BY-SA 3.0, via Wikimedia Commons.

Concept context

Vectors, projectile motion, uniform circular motion, and relative velocity - the foundation of 2D kinematics for NEET and JEE.

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A stone dropped from height h hits the ground with speed v. From what height should it be dropped to hit with speed 2v?

Concept context

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