A billiard player shoots a ball with an initial speed of 2.5 m/s. It strikes another billiard ball and moves off at an angle of 31.3 from its...

A billiard player shoots a ball with an initial speed of 2.5 m/s. It strikes another billiard ball and moves off at an angle of 31.3° from its original path. The target ball was initially stationary. Assume an elastic collision and neglect effects of friction. What is the component of velocity of the second ball perpendicular to the initial direction of the first ball? (Assume that the first ball is initially travelling in the positive i and deflects such that it has a non-negative j velocity component after the collision.)