Question

A cricketer can throw a ball to a maximum horizontal distance of $100$m. The speed with which he throws the balls is?(to the nearest integer)

• A. $30$ $m{s}^{-1}$
• B. $42$ $m{s}^{-1}$
• C. $32$ $m{s}^{-1}$
• D. $35$ $m{s}^{-1}$

Answer 1

The correct option is C $32$ $m{s}^{-1}$

For maximum range, $R=\frac{u^2{sin}^2\theta }{g}$

For maximum horizontal distance, $\theta$ should be ${45}^o$

Therefore, $100=\frac{u^2{Sin90}^0}{g}1000=u^2$

(Considering g= 10 m/$s^2$)

u= 10$\sqrt{10}$ m/s