Question

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

• A. $2R$
• B. $R/2$
• C. $R$
• D. $4R$

Answer 1

The correct option is D $4R$

R=$\frac{u^{2}sin2\theta }{g}$

As u becomes 2u

R'=$\frac{(2u{)}^{2}sin2\theta }{g}$$=4R$