Starting from rest, the cable at A is moving at the rate of $v_A=(3t^2)\frac{m}{s},$ where $t$ is in seconds. Determine

the following:

$($a$)$ the Equation$($s$)$ of the cable$($s$)$

$($b$)$ the velocity $($as a function of time$)$ of block $B.$

$($c$)$ the time needed to move block $B0\mathrm{.}25m.$

$($d$)$ the acceleration of block $B$ when it is moved $0\mathrm{.}25$ m $.$