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A ball is dropped from 44" and bounces to a height of 19". How long does it take to come to rest?

Asked by PhiNotPi (12681points) May 27th, 2013

Here’s the story:

I have a 4” diameter ball. I dropped it from a height of 44”, measured from the center of the ball to the floor. When it bounced, it rebounded to a height of 19”, measured from the top of the ball to the floor.

The ball continued to bounce for a while, until it came to rest on the floor. We can assume that the ball loses a certain fixed percentage of total energy with each bounce.

What is a good estimate of the length of time between when I first released the ball and when it came to rest?

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