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Question

Question: If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximu...

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will

A

Remain the same

B

Be doubled

C

Be quadrupled

D

Be halved

Answer

Be quadrupled

Explanation

Solution

H=u2sin2θ2gHu2.H = \frac{u^{2}\sin^{2}\theta}{2g}\therefore H \propto u^{2}. If initial velocity be doubled then maximum height reached by the projectile will quadrupled.