In the lab, we are rolling balls towards one another on a track, in order to observe their collision. We start with a stationary ball with a mass of $355$ g $,$ and we roll a second $232$ g ball towards it$,$ with an initial velocity of $+1\mathrm{.}88\frac{m}{s}.$ If the final velocity of the second ball, after the collision, is $-0\mathrm{.}36\frac{m}{s},$ what is the final velocity of the first ball?