In a pool game, the cue ball, which has an initial speed of 5 m/s, makes an

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In a pool game, the cue ball, which has an initial speed of 5 m/s, makes an elastic collision with the eight ball, which is initially at rest. After the collision, the eight ball moves at an angle of 30° with the original direction of the cue ball.

(a) Find the direction of motion of the cue ball after the collision.

(b) Find the speed of each ball. Assume that the balls have equal mass.

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