One billiard ball is shot east at 3.0 m/s. A second, identical billiard ball is shot west at 1.0 m/s. The balls have a glancing collision, not a head-on collision, deflecting the second ball by 90° and sending it north at 1.49 m/s. What are the speed and direction of the first ball after the collision? Give the direction as an angle south of east.