Solved: 6869. Distance traveled by bouncing balls A ball
Chapter 8, Problem 68(choose chapter or problem)
6869. Distance traveled by bouncing balls A ball is thrown upward to a height of h0 meters. After each bounce, the ball rebounds to a fraction r of its previous height. Let hn be the height after the nth bounce and let Sn be the total distance the ball has traveled at the moment of the nth bounce. a. Find the first four terms of the sequence 5Sn6. b. Make a table of 20 terms of the sequence 5Sn6 and determine a plausible value for the limit of 5Sn6. h0 = 20, r = 0.5
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