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Each time a ball bounces, gravity reverses. Will it reach relativistic speeds?

Asked by PhiNotPi (12681points) June 2nd, 2013

There is a ceiling that is 8 feet above a floor. The ball is dropped from a height of 1 meter. When the ball touches the floor, gravity will reverse instantly, and the ball will fall upwards and bounce on the ceiling. Once it touches the ceiling, gravity will reverse again back to the normal direction.

Each time the ball bounces, it loses 10% of its total energy, and it is in a vacuum.

What is the maximum speed that the ball will reach? Will it reach relativistic (10% of c) speeds? How long will it take to reach the maximum speed?

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