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Posted by **Steph** on Sunday, November 2, 2008 at 8:54pm.

What is the total vertical distance the ball has travelled after 5 bounces?

2.An oil produces 25000 barrels of oil durign its first month of production. suppose its production drops by 5% each month

estimate the total production before the well runs dry

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**drwls**, Sunday, November 2, 2008 at 9:12pm1. This depends upon whether you add vertical distance going up and going down. I will assume that is what they mean. It also depends upon whether you stop counting at the end of the fifth bounce.

2.00 m going down the first time

2*2.00*0.63 = 2.52 m going up and down on the first bounce

2*2.00*0.63^2 = 1.59 m going up and down on the second bounce.

etc. You can finish these and add them up yourself

2. 25000*(1 + .95 + .95^2 + .95^3 + ...)

If you don't want to add up a lot of terms, you can use the rule that the sum of this infinite series is

25000*/(1-.95) = ?

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**Steph**, Sunday, November 2, 2008 at 9:24pmthanks

for #1 how did you get 2x2x.63?

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**drwls**, Sunday, November 2, 2008 at 11:19pmUp and down means doubling the distance.

2 x 0.63 m is how far it rises after the first bounce

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