The $5-$Ib cylinder is falling from A with a speed $v_A=10[f\frac{t}{s}]$ onto the platform. Determine the maximum displacement in feet of the platform, caused by the collision. The spring has an unstretched length of $1\mathrm{.}00ft($so it is initially at it's lowest energy state$).$ Neglect the mass of the platform and spring and any energy lost during the collision.

$v_A=10f\frac{t}{s}$darr$A$

$3ft$