Problem

Balls are sitting on a billiards table as shown in the figure. You are playing stripes and...

Balls are sitting on a billiards table as shown in the figure. You are playing stripes and your opponent is playing solids. Your plan is to hit your target ball by bouncing the white ball off the table bumper.

a) At what angle relative to the normal does the cue ball need to hit the bumper for a purely elastic collision?

b) As an ever observant player, you determine that in fact collisions between billiard balls and bumpers have a coefficient of restitution of 0.6 What angle do you now choose to make the shot?

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