Homeworksucks
  • Homeworksucks
A ball falls from 20m in the air, and with each successive bounce, rises 40% of its original height. Find its total vertical distance travelled after six bounces.(Geometric Sequences, by the way).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Homeworksucks
  • Homeworksucks
Anyone?
anonymous
  • anonymous
after six bounces? \[20 = bounce 1\] \[( 20 * .4 ) = bounce 2\] \[( 20 * .4^2 ) = bounce 3\] get the pattern?
anonymous
  • anonymous
just calculate each one independently and add them up.

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anonymous
  • anonymous
It bounces higher than where it left off? That's impossible!!
anonymous
  • anonymous
you're finding the total lateral distance, and multiplying it by .4, not 4. /)?
anonymous
  • anonymous
\[20 + ( 20 * .4 ) + ( 20 * .4^2) + (20 * .4^3 ) + (20 * .4^4) + (20*.4^5) = 72.992\] so your total lateral distance is 72.992 meters if I didn't mess up on my calculator.
anonymous
  • anonymous
@RyanL. y u no /) back?
Homeworksucks
  • Homeworksucks
That's weird, the back-of-the-book gave me 42.64 m...
anonymous
  • anonymous
maybe it doesn't count the initial fall as a bounce. I'll run the math, 1 sec
anonymous
  • anonymous
that's really weird, I'm not coming up with your answer; maybe someone else should answer this one.
Homeworksucks
  • Homeworksucks
Thanks anyway! I'll probably check in with my teacher about this one.

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