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

JEE MainJEE Main 2022Motion in a Plane

Solution:

$R =\frac{ u ^{2} \sin 2 \theta}{ g } R _{\max }=\frac{ u ^{2}}{ g }=100$
$H _{\max }=\frac{ u ^{2}}{2 g }=\frac{100}{2}=50\, m$