Question

If a person can throw a stone to maximum height of $h$ metre vertically, then the maximum distance through which it can be thrown horizontally by the same person is

• A. $\frac{h}{2}$
• B. $h$
• C. $2h$
• D. $3h$

Answer 1

The correct option is C $2h$

Let the person throw a stone vertically with initial velocity $u$.

The maximum height attained by the stone is $h$.

At this height the velocity of the stone is zero, i.e $v=0$

$\Rightarrow$ $v^2-u^2=2(-g)h$

$0-u^2=-2gh$

$\Rightarrow$ $h=\frac{u^2}{2g}$............(1)

Maximum horizontal range, $R_{max}=\frac{u^2}{g}$

$\Rightarrow$ $R_{max}=2h$ .............(using (1))