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Math Help - Integral Help: acceleration, velocity, etc

  1. #1
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    Integral Help: acceleration, velocity, etc

    An automobile accelerates from rest at 1+3squarert(t) mph/ sec for 9 seconds.
    a) What is its velocity after 9 seconds?
    b)how far does it travel in those 9 seconds?

    Ok, i try doing the integral of that acceleration equation and get 27mph. However my book says its 63 mph. Can someone explain to me how to get 63? Thank you
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Integrating the acceleration to get the velocity:


    v(t) = t + 2t^(3/2)

    v(9) - v(0) = 9 + 2*9^(3/2) = 9 +2 *27 = 63
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  3. #3
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    Quote Originally Posted by maximade View Post
    An automobile accelerates from rest at 1+3squarert(t) mph/ sec for 9 seconds.
    a) What is its velocity after 9 seconds?
    b)how far does it travel in those 9 seconds?

    Ok, i try doing the integral of that acceleration equation and get 27mph. However my book says its 63 mph. Can someone explain to me how to get 63? Thank you
    What did you get for the anti-derivative of 1+ 3\sqrt{t}= 1+ 3t^{1/2}?
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