How far does the golf ball travel before coming to rest?

Golf Ball
2 days after my B day :) asked:

A golf ball is dropped from a height of 81 inches. It rebounds to 2/3 of its original height and continues rebounding in this manner. How far does it travel before coming to rest?

Pearline C. Lecompte

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5 Responses to “How far does the golf ball travel before coming to rest?”

  1. shinigami says:

    thoereticaly speaking it never come to a rest (assuming it bounces exatly 2/3 its last bounce every time, scince you can divide any number (no matter how small).)

  2. sv says:

    it travelled = 81[1 + 2{2/3 + (2/3)^2 + ...}] in
    = 81[1 + 2{2/3 / (1 --2/3)}] in
    = 405 inches

  3. JJ says:

    depends what you call rest, this is how it goes
    1st bounce = 2/3rds of 81 = 54
    2nd bounce = 2/3rds of 54 =36
    3rd bounce = 2/3rds of 36 = 24
    4th …blah blah blah = 16
    5th = 10
    6th = 6.66
    7th 4.4

    and it carries on for a long time

  4. rocky says:

    The golf ball is first dropped it helpsbest of 81 54m then it rebounds 23 81 2an gp formula 405m hope it rebounds 23 of 81 then it will cover 23 of 54 36m falls back 54m then it rebounds.

  5. getfreducated says:

    The other answers i get close enough fred.
    The problemforget their prattle there are so much hand waving junk those folks have given you wonderful solution to your geometric series question the problemforget their prattle there are so much hand waving junk those folks have given you wonderful solution to your geometric series question the problemforget their prattle there are so much hand waving junk those folks have.

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