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Math Help - Integration Question

  1. #1
    Newbie
    Joined
    Oct 2009
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    Integration Question

    Hi. I'm attempting a question and I'm not sure whether integration is the right method:

    - A ball drops onto a flat surface from height h. It returns to a height of \frac{h}{3^n} after the n^th bounce. Find the total distance travelled by the ball.

    I'm thinking something along the lines of

    \int_0^\infty h + 2\frac{h}{3^n}dn

    Is this right?
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  2. #2
    Super Member
    Joined
    Aug 2009
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    Israel
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    It's simply a sum: h + 2\frac{h}{3^1} + 2\frac{h}{3^2} + ...

    Where'd you get the integral from?
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