The $1-lb$ ball $A$ is thrown so that when it strikes the $15-lb$ block $B$ it is traveling horizontally at $v=26f\frac{t}{s}$ as shown in $($Figure $1).$

Figure

$1$ of $1$

Part A

If the coefficient of restitution between A and $B$ is $e=0\mathrm{.}6,$ and the coefficent of kinetic friction between the plane and the block is ${}_k=0\mathrm{.}4,$ determine the distance block $B$ slides on the plane before stopping.

Express your answer in feet to three significant figures.

$s=[]ft$