A $2\mathrm{.}0-$kg ball moving at $10$ m$/$s makes an off$-$center collision with a $3\mathrm{.}0-$kg ball that is initially at rest. After the collision, the $2\mathrm{.}0-$kg ball is deflected at an angle of $30$o from its original direction of motion and the $3\mathrm{.}0-$kg ball is moving at $4\mathrm{.}0$ m$/$s$.$ Find the speed of the$2\mathrm{.}0-$kg ball and the direction of the $3\mathrm{.}0-$kg ball after the collision. Hint:$2+2=1.$ Answer: $5\mathrm{.}3$ m$/$s$,26\backslash$deg