⚛️ Physics · Motion in a Plane · NEET & JEE

Two balls are thrown with the same speed at 30° and 60° to the horizontal. The ratio of their times of flight (30° : 60°) is:

Answer: 1 : 3.

A 1 : 3
B 1 : 1
C √3 : 1
D 1 : √3

Correct answer: D. 1 : √3

Explanation: Time of flight is proportional to sinθ. Ratio = sin30° : sin60° = 0.5 : (√3/2) = 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 balls are thrown with the same speed at 30&deg; and 60&deg; to the horizontal. The ratio of their times of flight (30&deg; : 60&deg;) is:

Concept context

More Motion in a Plane questions

Two balls are thrown with the same speed at 30° and 60° to the horizontal. The ratio of their times of flight (30° : 60°) is: