Question

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. $4R$

Answer 1

Answer: (D)

$4R$

Answer 2

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