$(8$ points$)$ Starting from rest, the winding drum, $D,$ unspools a cable with a constant acceleration of $15f\frac{t}{s^2},$ thus lowering the $1825-lb$ crate. Determine the power supplied to the winding drum at the instant the crate is moving $3f\frac{t}{s}$ downward if the drum has a mechanical efficiency of $0\mathrm{.}72.$

$(8$ points$)$ Starting from rest, the winding drum, $D,$ unspools a cable with a constant acceleration of $15f\frac{t}{s^2},$ thus lowering the $1825-lb$ crate. Determine the power supplied to the winding drum at the instant the crate is moving $3f\frac{t}{s}$ downward if the drum has a mechanical efficiency of $0\mathrm{.}72.$