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math

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1.A ball is dropped from a height of 2.0, to a floor. After each bounce, the ball rises to 63% of its previous height

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

  • math -

    1. 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) = ?

  • math -

    thanks

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

  • math -

    Up and down means doubling the distance.
    2 x 0.63 m is how far it rises after the first bounce

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