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Question

Physics Question on projectile motion

Two projectiles

Two projectiles A and B are projected from the same point on ground with same speed of projection as shown. Find the ratio of maximum height attained by A to that of B.

A

3:1

B

1:3

C

√3:1

D

√3:2

Answer

3:1

Explanation

Solution

The correct answer is option (A): 3:1

hAhB=u2sin2602gu2sin2302g=31\frac{h_A}{h_B}=\frac{\frac{u^2sin^260^{\circ}}{2g}}{\frac{u^2sin^230^{\circ}}{2g}}=\frac{3}{1}