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Math Help - Help with an acceleration problem please?

  1. #1
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    Help with an acceleration problem please?

    An objects accleration function is given by a(t)=10t+4, v(0), is 5 and the objects initial position,s(o) is 12. Find S(t)?

    I'm not sure where to start this one.


    Thanks
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  2. #2
    MHF Contributor Calculus26's Avatar
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    v(t) = integral[ (a(t)dt]

    v(t) = 5t^2 + 4t +C

    Since v(0) = 5

    C = 5

    v(t) = 5t^2 + 4t + 5

    Now s(t) = integral[v(t)dt] so repeat the process
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