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Question

Physics Question on projectile motion

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

A

60 60^\circ

B

15 15^\circ

C

3030^\circ

D

45 45^\circ

Answer

60 60^\circ

Explanation

Solution

Let v be velocity of a projectile at maximum height H. v = cos θ \theta According to given problem, v = u2\frac{ u}{ 2} u2=ucosθcosθ=12\therefore \frac{u}{2} = u \, \cos \, \theta \Rightarrow \cos \, \theta = \frac{1}{2} θ=60\Rightarrow \theta = 60^\circ