Problem A: Billiard
In a billiard table with horizontal side a inches and vertical side b inches,
a ball is launched from the middle of the table. After s > 0 seconds the ball returns to the point from which it was launched, after having made m bounces
off the vertical sides and n bounces off the horizontal sides of the table. Find the launching angle A (measured
from the horizontal), which will be between 0 and 90 degrees inclusive, and the initial velocity of the ball.
Assume that......
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