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Question: A projectile is thrown with an initial velocity of \((v_{x}^{\widehat{i}} + v_{y}^{\widehat{j}})\) m...

A projectile is thrown with an initial velocity of (vxi^+vyj^)(v_{x}^{\widehat{i}} + v_{y}^{\widehat{j}}) m s–1 . If the range of the projectile is double the maximum height, then vy =

A

vx

B

2vx

C

3vx

D

4vx

Answer

2vx

Explanation

Solution

tan q = vyvx\frac{v_{y}}{v_{x}} …..(1)

R = 2 H

tan q = 2 …...(2)

vyvx\frac{v_{y}}{v_{x}} = 2 ̃ vy = 2vx