$1575.$ The $0\mathrm{.}5-$kg ball is fired from the tube at

$$

with a velocity of

$$

$=$

$6$

$$

m$/$s

$.$

If the coefficient of restitution between the ball and the surface is

$$

$=$

$0\mathrm{.}8$

$,$

determine the height

$$

after it bounces off the surface.