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Motion In A Plane

Question
CBSEENPH11018586

A cricketer can throw a ball to a maximum horizontal distance of 100 m. How much high above the ground can the cricketer throw the same ball?

Solution
Horizontal range is maximum if the angle of projection is 45°.
Horizontal range in this case is given by,
                straight R subscript max space equals space straight u squared over straight g
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If the cricketer throws the ball vertically upward then it will attain the maximum height from the ground.
∴      straight H subscript max equals fraction numerator straight u squared over denominator 2 straight g end fraction equals 100 over 2 equals 50 straight m, is the height of the ball from the ground.