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What best describes the dropping height of a ball that bounced back up to a height of 45 centimeters?

a. Less than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
b. Greater than 45 centimeters, as the ball transforms some of its thermal energy into potential energy
c. Less than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy
d. Greater than 45 centimeters, as the ball transforms some of its potential energy into thermal energy and sound energy