Question

A ball is dropped from a height $h$. If the coefficient of restitution is $e$ then to what height will it rise after jumping twice from the ground

• A. $\frac{eh}{2}$
• B. 2eh
• C. eh
• D. $e^4 \,h$

Answer 1

Answer: (D)

$e^4 \,h$

Answer 2

Since, $e^n =\left(\frac{h_n}{h_0}\right)^{1/2}$
=$h_n =e^{2n}h_0=e^{2\times 2} h_o =e^4 h$