⚛️ Physics · Motion in a Plane · NEET & JEE

Two projectiles are fired with the same speed at 30° and 60°. The ratio of their maximum heights (30° : 60°) is:

Answer: 1:3.

A 1:3
B 3:1
C 1:√3
D 1:1

Correct answer: A. 1:3

Explanation: H ∝ sin²θ, so H30/H60 = sin²30°/sin²60° = (1/4)/(3/4) = 1:3.

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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Two projectiles are fired with the same speed at 30° and 60°. The ratio of their maximum heights (30° : 60°) is:

Concept context

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