QJEEM23Ph82d1: JEE Main 2023 Physics - Class 11 JEEM23Ph82d1 Solution: The maximum vertical height to which a man can throw a ball is…

Question

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The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is :

Accepted Answer

For vertical throw,

\begin{aligned} h = \frac{v^{2}}{2 g} \\ v = \sqrt{2 g h} = \sqrt{2 g \times 136} . . . (1) \end{aligned}

For max range,

\theta=45^{\circ}

R_{\max }=\frac{v^{2}}{g} \quad...(2)

From (1) and (2)

\begin{aligned} R_{max} & = \frac{v^{2}}{g} = \frac{2 g \times 136}{g} \\ = 272 m \end{aligned}

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