Randall D. Knight — Impulse and Momentum: Problem 48

One billiard ball is shot east at \(3.0\text{ m/s}\). A second, identical billiard ball is shot west at \(1.0\text{ m/s}\). The balls have a glancing collision, not a head-on collision, deflecting the second ball by \(90^\circ\) and sending it north at \(2.5\text{ m/s}\). What are the speed and direction of the first ball after the collision? Give the direction as an angle south of east.