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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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It would bounce back to 2/3s of its starting height. Then 2/3s of the peak of the next bounce.
When the ball bounces up higher than the window, it passes the window twice (going up and going down again).
The kata states that the area must be greater than zero, so you should be using greater-than, not greater than or equal to.