Blocks A $($mass $12\mathrm{.}00$ kg$)$ and B $($mass $3\mathrm{.}00$ kg$)$ are at a distance of $2$m on a frictionless, inclined surface which makes an angle of $30$ with horizontal. Initially, block B is at rest and block A is moving toward it at $10\mathrm{.}0$ m$/$s$.$ The blocks are equipped with ideal spring bumpers. The collision is head$-$on$,$ so all motion before and after the collision is along the incline. the distance at the moment of collision is assumed to be $0\mathrm{.}5$m

Find the maximum energy stored in the spring bumpers and the velocity of each block at that time.

Find the velocity of each block after they have moved apart.