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anonymous

  • 5 years ago

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?

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  1. UnkleRhaukus
    • 5 years ago
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    \[160 + \sum_{n=1}^{10} 160 \times 2 \times 0.8^n\]

  2. UnkleRhaukus
    • 5 years ago
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    |dw:1326859180372:dw|

  3. anonymous
    • 5 years ago
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    UnkleRahukas It is an infinite series

  4. UnkleRhaukus
    • 5 years ago
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    i thought there were only 10 bounces?

  5. anonymous
    • 5 years ago
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    the answer is 1268.2m just so to let you guys know Im looking for a sum

  6. anonymous
    • 5 years ago
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    Sorry i calculated the total distance that it would travel it is definitely not 1268.2m

  7. anonymous
    • 5 years ago
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    what did you get?

  8. UnkleRhaukus
    • 5 years ago
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    even if it bounced 100% of original bounce you will not get a total distance greater than 21x1.6m =34m

  9. anonymous
    • 5 years ago
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    i think they meant sum find the sum of all the distances

  10. UnkleRhaukus
    • 5 years ago
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    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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