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A person can throw a ball upto a maximum range of 100 m. How high above the ground he can throw the same ball?
$$R_{\text{max}} = \frac{u^2}{g} = 100\ \text{m} \quad \text{--- (1)}$$
$$H_{\text{max}} = \frac{u^2 \sin^2(90^\circ)}{2g} = \frac{u^2}{2g} \quad \text{--- (2)}$$
$$H_{\text{max}} = \frac{R_{\text{max}}}{2} = \frac{100}{2} = 50\ \text{m}$$
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