Question

If a cricket player can throw a ball to a maximum horizontal range of $60m$, what is the maximum vertical height (in $m$) to which he can throw?

• A. $60$
• B. $30$
• C. $20$
• D. $50$

Answer 1

The correct option is B $30$

Range of projectile is
$R=\frac{u^2\sin 2\theta }{g}$
$R$ is maximum when $\theta ={45}^o$
$\Rightarrow 60=\frac{u^2}{g}\sin {90}^o$
$\Rightarrow 60=\frac{u^2}{g}$
Maximum height of balls is
$H=\frac{u^2{\sin }^2\theta }{2g}$
$H$ is maximum when $\theta ={90}^o$
$\Rightarrow H=\frac{u^2{\sin }^2{90}^o}{2g}$
$=30m$