A billiard ball moving at $5\mathrm{.}45$ m$/$s strikes a stationary ball of the same mass. After the collision, the first ball moves at $4\mathrm{.}90$ m$/$s$,$ at an angle of $26$ with respect to the original line of motion.

$($a$)$

Find the velocity $($magnitude and direction$)$ of the second ball after collision. $($Enter the direction with respect to the original line of motion. Include the sign of your answer. Consider the sign of the first ball's angle.$)$

m$/$s $$

$($b$)$

Was the collision inelastic or elastic?

inelasticelastic$$