### At what angle did the player have to shoot the cue ball

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In eight ball, a player needs to pocket the eight ball to win the game. Assume that the player strikes the cue ball so that it impacts the eight ball with velocity v, sufficiently large to knock the eight ball into the side pocket, and that the impact is elastic. An official pool ball weighs 6 ounces and has a diameter of 2.25 in. (a) At what angle did the player have to shoot the cue ball so that the eight ball entered the pocket at C? (b) In what direction did the cue ball move after the collision? (c) What percentage of its kinetic energy did the cue ball impart to the eight ball?

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