Question of the Day #321 (13/8/10)

Kazza

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I drop a football from a roof at 100m off the ground. Each time it hits the ground it bounces 3/5 of the height it fell.

How far will the ball have travelled on the 5th bounce?



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JustinID

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Meters? I thought it was Metres? It's not her fault though... they're so confused they think it's winter! :BLAA:

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It's obviously miles and not meters anyway. Besides, the question is bogus anyway - everyone knows that because of its oblong shape, a football will never bounce predictably :BLAA:
 

Kazza

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I drop a football from a roof at 100m off the ground. Each time it hits the ground it bounces 3/5 of the height it fell.

How far will the ball have travelled on the 5th bounce?


361.12m


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3/5(3/5)(100) 3/5(3/5)(3/5)(100)
(1) (2) (3)
100 + 2(3/5)(100) + 2(3/5)(3/5)(100) + 2(3/5)(3/5)(3/5)(100)
+ 2(3/5)(3/5)(3/5)(100) =
100 + 600/5 + 1800/25 + 5400/125 + 16200/625

= 361.12m


As for metres, get with the modern world guys :eek: And footballs - they can be round too :D


Have a good weekend
 
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