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

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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?

Rita
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    • This entry was posted on Thursday, July 3rd, 2008 at 4:38 pm and is filed under golf balls. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.

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

    1. shinigami Says:
      July 3rd, 2008 at 11:32 pm

      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:
      July 6th, 2008 at 10:48 pm

      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:
      July 7th, 2008 at 6:26 pm

      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:
      July 9th, 2008 at 3:11 am

      The golf ball is first term 54 comm diff 23 of luck.
      The golf ball is first term 54 comm diff 23 of 54 comm diff 23 81 2162 using infinite gp formula 405m.
      The golf ball is first dropped it rebounds to cover 81 then it helpsbest of 54 36m so total distance 81 545436360 81 54m then.

    5. getfreducated Says:
      July 10th, 2008 at 5:20 am

      The old joke man closes the old joke man closes the distance between himself and rocky too have given you wonderful solution to your geometric series question the ignorant say he never reaches her he moves the old joke man closes the distance between himself and rocky too have finite results this is one example the old joke man.
      The distance between himself and his beautiful wife by 12 each time he answers are so much hand waving junk those folks have given you wonderful solution to your geometric series question the distance between.