Elenathehomeschooler
  • Elenathehomeschooler
Someone help me solve please! A basketball is dropped from an original height of 9ft. and on each bounce, bounces up 2/3 the distance it fell. How far will it have traveled by the time it hits the ground the 4th time?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DanJS
  • DanJS
9 + 2/3 of 9 for the given falls 2/3 of 9 then bounces 2/3 of 2/3 of 9 exe...
retirEEd
  • retirEEd
Think of a recursive sequence where x2 = (x1)(2/3)
DanJS
  • DanJS
|dw:1449612053865:dw| yeah, retireed has the idea the previous initial height to fall depends on the last bounce height each time

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Elenathehomeschooler
  • Elenathehomeschooler
ok
Elenathehomeschooler
  • Elenathehomeschooler
how do we find distance it travels each time?
DanJS
  • DanJS
are you learning about sequences and things a(n) ? if you don't need to know how to generate a function for total distance traveled depending on the bounce #, then this wont be too long to just brute force total it up
DanJS
  • DanJS
i mean if you don't need to generate a function, just total up everything
Elenathehomeschooler
  • Elenathehomeschooler
yes i am
DanJS
  • DanJS
|dw:1449612968646:dw|
Elenathehomeschooler
  • Elenathehomeschooler
would the answer be it traveled 21.66
DanJS
  • DanJS
first bounce falls 9 second bounce adds to that (2/3)*9 * 2, it is times 2 from moving up, then down third bounce adds 2*(2/3)* second bounce 4th adds 2*(2/3) third bounce see the pattern
Elenathehomeschooler
  • Elenathehomeschooler
it would be 21.3333?
Elenathehomeschooler
  • Elenathehomeschooler
are you there?
Elenathehomeschooler
  • Elenathehomeschooler
@zepdrix can you help ?
retirEEd
  • retirEEd
Remember.... what goes up must come down.

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