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Thread: velocity and distance

  1. July 30th 2009, 12:36 PM #1
    dat1611
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    velocity and distance

    A particle that moves along a straight line has velocity
    meters per second after t seconds.
    How many meters will it travel during the first t seconds?
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  2. July 30th 2009, 01:14 PM #2
    skeeter
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    Quote Originally Posted by dat1611 View Post
    A particle that moves along a straight line has velocity
    meters per second after t seconds.
    How many meters will it travel during the first t seconds?
    note that v(t) \ge 0 for all t.

    assuming the clock starts at t = 0 ...

    displacement = distance traveled = \int_0^t x^2 e^{-2x} \, dx
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