The ball has more gravitational potential energy the higher the starting height, therefore it has more stored energy. When the ball is dropped, this stored energy or potential energy converts to kinetic energy. It exerts more kinetic energy once it is released because it had more potential energy. Since it has more kinetic energy, it will bounce with more force and therefore bounce higher.
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Answer:
The ball has more gravitational potential energy the higher the starting height, therefore it has more stored energy. When the ball is dropped, this stored energy or potential energy converts to kinetic energy. It exerts more kinetic energy once it is released because it had more potential energy. Since it has more kinetic energy, it will bounce with more force and therefore bounce higher.