A bowler projects an

$8\mathrm{.}5-$

in

$.$

$-$diameter ball weighing

$16$

lb

along an alley with a forward velocity

v

$0$

of

$25$

ft$/$s

and a backspin

$$

$0$

of

$9$

rad

$/$

s

$.$ Knowing that the coefficient of kinetic friction between the ball and the alley is

$0\mathrm{.}10$

$,$

determine $($a$)$ the time

$$

$1$

at which the ball will start rolling without sliding, $($b$)$ the speed of the ball at time