A $32-lb$ suitcase slides from rest $20ft$ down the ramp. The suitcase has an initial velocity down the ramp of $v_A=9f\frac{t}{s}$ and the coefficient of kinetic friction along $AB$ is ${}_k=0\mathrm{.}25.($Figure $1)$

Figure

$1$ of $1$

Part A

How long does it take to go from A to C$?$

part B

Determine the point where it strikes the ground at C