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When dropping an object the height depends in a quadratic manner on time.
It is a simple concept, but a nice idea: it is used by seaguls to crack shells,
by asteriod probes to deploy robots on asteriods it also has
appeared when busting dams during war.
The falling apple
was programmed from a techdemo in 2010. See the page source for the code.
The topic of bouncing objects is a serious mathematical endeavor. It is called
billiard in a gravitational field. Here is a numerically computed picture
which shows how a ball bounces around in an elliptical bowl.
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