Question

A projectile is thrown with an initial velocity of $(a \hat{i} + b \hat{j}) {ms}^{- 1}$ . If the range of the projectile is twice the maximum height reached by it, then

Moderate

Solution

$R = 2 H or \frac{2 u_{x} u_{y}}{g} = \frac{2 u_{y}^{2}}{2 g}$
or $2 u_{x} = u_{y} or 2 a = b$

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