⚛️ Physics · Motion in a Plane · NEET & JEE

A shell is fired at 30° angle with speed 60 m/s. At highest point, it explodes into two equal pieces. One piece falls vertically. Speed of other piece is (g=10):

Answer: 60√3 m/s.

A 60√3 m/s
B 30√3 m/s
C 60 m/s
D 2×60cos30° = 60√3

Correct answer: A. 60√3 m/s

Explanation: At max height: vx = 60cos30° = 30√3. Momentum: m×30√3 = m/2×0 + m/2×v. v = 60√3 m/s.

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 shell is fired at 30° angle with speed 60 m/s. At highest point, it explodes into two equal pieces. One piece falls vertically. Speed of other piece is (g=10):

Concept context

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