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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
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4R
$R=\frac{u^2 \sin 2 \theta}{g} \therefore R \propto u^2$. If initial velocity be doubled then range will become four times.
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