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Math Help - Velocity problem with integration

  1. #1
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    Velocity problem with integration

    A ball is dropped vertically from a great height. Its velocity v is given by
    v= 50-50e^(-0.2t), t greater or equal to 0.

    Find the time required to fall 250 m.

    So I have integrated the velocity function and obtained the distance function, as required in previous parts of the question and I have obtained a value of -250 for the constant of integration.

    My current setup right now is

    t+50e^(-0.2t)-10=0

    but how do I solve for t???
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  2. #2
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    Are you sure your integration is correct?
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