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Balls bouncing

By: Kyle Lange
Photo by JefferyTurner

Bouncing balls are a geometric sequence.

  • Every time the ball bounces it bounces at 2/3 of the height of the last bounce or at its previous climax of height.
  • The parent equation for this is An=A1xR(N-1)
  • Our equation could be An=10(2/3)(N-1). Meaning the ball was dropped at 10 ft.
Photo by williamcromar

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  • This is an equation where the ball starts at 100'
  • It's very simple to find the next bounce you take the height of the last bounce and times it by .66 or 2/3

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  • This is an example of when the ball is dropped at 200 ft.

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  • This equation is an example of an ball bouncing at 17ft. This equation would be An=A1xR(n-1)