Question

A boy throws a ball with a velocity of $20m{s}^{-1}$ such that it's horizontal range is maximum. If $g=10m/s^2$, range of the ball is

• A. $20m$
• B. $25m$
• C. $30m$
• D. $40m$

Answer 1

The correct option is D $40m$

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

$R$ is maximum at $\theta ={45}^o$

So, $R=\frac{u^2}{g}=\frac{(20{)}^2}{10}=40m$