A projectile fired with initial velocity u

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A projectile fired with initial velocity $u$ at some angle $\theta $ has a range $R$. If the initial velocity be doubled at the same angle of projection, then the range will be

A

$2R$

B

$R/2$

C

$R$

D

$4R$

A projectile fired with initial velocity $u$ at some angle $\theta $ has a range $R$. If the initial velocity be doubled at the same angle of projection, then the range will be

$R = \frac{{{u^2}\sin 2\theta }}{g}$

$\therefore R \propto {u^2}$. If initial velocity be doubled then range will become four times.