Do not round intermediate answers. Give your final answer$($s$)$ to three decimal places. Check your units.

Under the action of force $P,$ the constant acceleration of block $B$ is $7\mathrm{.}8f\frac{t}{se{c}^2}$ up the incline. For the instant when the velocity

of $B$ is $8\mathrm{.}7f\frac{t}{sec}$ up the incline, determine:

$($a$)$ the velocity of $B$ relative to $A,$

$($b$)$ the acceleration of $B$ relative to $A,$

$($c$)$ the absolute velocity of any random point $C$ on the cable,

$($d$)$ the time it takes block $A$ to move $38$ ft from the current position.