A person can throw a ball upto a maximum range of 100 m . How high above the ground he can throw the same ball?

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TestHub · Accepted Answer

Horizontal range is maximum if the angle of projection is $45 °$ and is given by $R_{\max} = \frac{u^{2}}{g}$

Here, $R_{m a x} = 100 m$

Then, $100 = \frac{u^{2}}{g} \dots (1)$

If the ball is thrown vertically upward, then the ball will attain the maximum height from the ground as $H_{\max} = \frac{u^{2}}{2 g}$

$H_{\max} = \frac{100}{2} = 50 m$

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