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A ball is dropped at a height of h measured from the ground. If the coefficient of restitution between the ball and the ground is e (between zero and one), what is the maximum height to which the ball rises after the first bounce?

Respuesta :

Answer:

The maximum height is [tex]he^2[/tex].

Step-by-step explanation:

The ball has been dropped from the height of h.

Let, the ball will be able to rise a height of H after first bounce.

The initial velocity of the ball is [tex]\sqrt{2gh}[/tex] and the velocity after the first bounce is [tex]\sqrt{2gH}[/tex].

The coefficient of restitution, e = [tex]\frac{\sqrt{2gH} }{\sqrt{2gh} }[/tex] {as per the definition of coefficient of restitution}.

Hence, H = [tex]he^{2}[/tex].

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