Linear Kinetics: $(3$ pts $)$ A $115$ kg wrestler running $3\mathrm{.}5\frac{m}{s}$ east collides with a $121$ kg wrestler running $3\frac{m}{s}$ west. $($a$)$ What is the combined momentum of the two wrestlers? $($b$)$ If momentum is conserved and the wrestlers move together after the collision, how fast and in what direction will they be traveling?

$($a$)$ Combined linear momentum:

$($b$)$ Velocity and direction of travel: