Question

A ball at rest released vertically from a height h from ground exhibits maximum velocity.​

Answer 1

A ball is at rest released vertically from a height h from the ground.

We have to find the maximum velocity of the ball.

solution : initial velocity of the ball, u = 0

let final velocity of the ball = v

vertical distance covered by the ball, s = -h

acceleration acting on the ball, a = -g

using formula, v² = u² + 2as

⇒v² = 0² + 2(-g)(-h)

⇒v = √(2gh)

Therefore the ball exhibits maximum velocity just before reaching the ground and that is equal to √(2gh).