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Thread: Antiderivative question 2

  1. #1
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    Antiderivative question 2

    Find the position of the particle:
    a(t)=10+3t-3t^(2), s(0)=0, s(2)=10

    Thanks for the help.
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by nystudent2729 View Post
    Find the position of the particle:
    a(t)=10+3t-3t^(2), s(0)=0, s(2)=10

    Thanks for the help.
    recall, $\displaystyle \int t^n~dt = \frac {t^{n + 1}}{n + 1} + C$, where C is a constant, and $\displaystyle n$ is a constant different from -1.

    to get to $\displaystyle s(t)$, integrate $\displaystyle a(t)$ twice. use the data given for $\displaystyle s(t)$ to figure out the arbitrary constants
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