Blocks AA $($mass $2\mathrm{.}00$ kgkg$)$ and BB $($mass $15\mathrm{.}00$ kgkg$,$ to the right of AA$)$ move on a frictionless, horizontal surface. Initially, block BB is moving to the left at $0\mathrm{.}500$ m$/$sm$/$s and block AA is moving to the right at $2\mathrm{.}00$ m$/$sm$/$s$.$ The blocks are equipped with ideal spring bumpers. The collision is headon, so all motion before and after it is along a straight line. Let $+$x$+$x be the direction of the initial motion of AA$.$