Physics Two Dimensional Motion Question 230

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

Options:

A) Remain the same B) Be doubled C) Be quadrupled D) Be halved

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Answer:

Correct Answer: C

Solution:

[c] $ 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.