Block A is held above the ground and the cable from block A tends directly upward. $$Block A has a mass of $910$ lb$.$Block B is connected to block A through a taut, inextensible cable. $$The coefficient of friction $($static and kinetic$)$ between block B and the supporting surface is $0\mathrm{.}250.$ The angle theta is $0\mathrm{.}8781$ radians

Determine the mass of block B$,$ in lbm$,$ that will result in block A rising $50$ feet in $3\mathrm{.}00$ seconds. You may assume that $($a$)$ the lines are weightless and frictionless; $($b$)$ that the cable is taut; $($c$)$ that the force from block B is instantaneously transmitted to block A at time $=0($thus acceleration is constant$)$; block A contacts only the cable; and $($d$)$ the velocity of both blocks is $0$ at time $=0.$