anonymous
  • anonymous
8. A ball is dropped from a height of 160 cm. Each time it drops it rebounds to 80% of its previous height. b) What is the total distance travelled at the time of the 10th bounce?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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UnkleRhaukus
  • UnkleRhaukus
\[160 + \sum_{n=1}^{10} 160 \times 2 \times 0.8^n\]
UnkleRhaukus
  • UnkleRhaukus
|dw:1326859180372:dw|
anonymous
  • anonymous
UnkleRahukas It is an infinite series

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UnkleRhaukus
  • UnkleRhaukus
i thought there were only 10 bounces?
anonymous
  • anonymous
the answer is 1268.2m just so to let you guys know Im looking for a sum
anonymous
  • anonymous
Sorry i calculated the total distance that it would travel it is definitely not 1268.2m
anonymous
  • anonymous
what did you get?
UnkleRhaukus
  • UnkleRhaukus
even if it bounced 100% of original bounce you will not get a total distance greater than 21x1.6m =34m
anonymous
  • anonymous
i think they meant sum find the sum of all the distances
UnkleRhaukus
  • UnkleRhaukus
well i dont know if i have done this correctly but i have ~\[ 160+160 \times 2 \times 4.57\]~\[16.22meters\]

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