Question

A ball falls from a height of 10m on to a horizontal plane. If the coefficient of restitution is 0.4, then the velocity with which it rebounds from the plane after second collision is:

• A. $2.24m{s}^{-1}$
• B. $5.6m{s}^{-1}$
• C. $2.8m{s}^{-1}$
• D. $0.9m{s}^{-1}$

Answer 1

The correct option is A $2.24m{s}^{-1}$

The correct option is A

Given,

$height=10m$

$Coefficient=0.4$

We have $h=10mande=0.4$

so,

$v=h^{\prime }{(}^2{)}^4\times h$

$=0-u^2=-2\times 10\times \frac{256}{1000}$

$=5.12$

$=2.26m/s$