Two ice skaters, Daniel $($mass $65\mathrm{.}0$ kg$)$ and Rebecca $($mass $45\mathrm{.}0$ kg$),$ are participating. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at $13\mathrm{.}0$ m$/$s before she collides with him. After the collision, Rebecca has a velocity of magnitude $8\mathrm{.}0$ m$/$s at an angle of $53\mathrm{.}0$o from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.$($a$)$ What are the magnitude and direction of Daniels velocity after collision.$($b$)$ What is the change in the total kinetic energy of the two skaters as a result of the collision