Solve the all parts of given problem:
Problem: In a pool game, the cue ball, which has an initial speed of 3.0 m/s, make an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 30° to the original direction of the cue ball.
Part I: Find the direction of motion of the cue ball after the collision. (from the original line of motion)
Part II: Find the speed of each ball. Assume that the balls have equal mass.
Please show complete calculation thanks!