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Q. A cricket player can throw a ball with an initial speed of $30\, m / s$. What is the maximum range of the player can throw the ball? Neglect air resistance. [Take, $\left. g=10\, m / s ^{2}\right]$

TS EAMCET 2018

Solution:

Maximum range occurs, when angle of throw $\theta=45^{\circ}$
Also, range maximum $=\left.\frac{u^{2} \sin 2 \theta}{g}\right|_{\theta=45^{\circ}}$
$=\frac{u^{2}}{g}=\frac{900}{10}=90\, m$