What a fun idea, especially since it is hard to actually make the shot.
Here is a game they invented to play on the table.
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Amusingly, it appears to offer roughly the same amount of difficulty, even though it SOUNDS really easy when described. Stupid physics! Getting in the way of a good mathematical demonstration!
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Just shows why assuming all cows are spherical is usually not a sufficient approximation.
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Angle of departure = angle of incidence…
…to a first order approximation, for certain speeds.
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And ball rotation rates…