Pool Shark Shuffle

Geometry Level 1

Shelley has a ball placed at the exact bottom middle of a 2 m by 1 m pool table as shown. She wants to hit the ball towards the right side of the table such that it bounces exactly 2 times and ends up in the upper right hole. How far up from the lower right corner should she shoot the ball?

This problem is part of the Brilliant.org Open Problems Group. The end goal for each open problem is to find a solution, and maybe publish it if it's a nice enough result! You can read about the unsolved billiards problem that this one is related to here.

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