A ball is dropped from a height of 30 feet. Each time it strikes the ground, it bounces up to 0.8 of the previous height. (a) What height does the ball bounce up to after it strikes the ground for the third time? (b) How high does it bounce after it strikes the ground for the $n$ th time? (c) How many times does the ball need to strike the ground before its bounce is less than 6 inches? (d) What total vertical distance does the ball travel before it stops bouncing?
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- Initial height from which the ball is dropped: 30 feet. - Each bounce reaches 0.8 of the previous height. Show more…
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