Question

A ball of mass 81 kg is dropped from a height of 22 m. What is the height at which the velocity is exactly half of the final velocity with which it hits the ground?

Answer 1

Hi,

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We know that, Final velocity of the ball is given by,

Where,

is acceleration due to gravity,

is height at which the ball is dropped,

Let be the height at which the velocity is exactly half of the final velocity with which it hits the ground,

We have,

Squaring both sides, we get,

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