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Integrating to find velocity and position equations

  1. Sep 6, 2010 #1
    1. The problem statement, all variables and given/known data
    The acceleration of a certain particle is a function of time: a(t) = pt2-qt3, where p and q are constants. Initially, the velocity and position of the particle are zero.
    (a) What is the velocity as a function of time?
    (b) What is the position as a function of time?

    3. The attempt at a solution
    I was just wondering if these looked correct:
    a) I integrated a(t) to get
    v(t) = p(t3/3) - q(t4/4) + c
    then subbed in v(0) = 0 to find c = 0
    so v(t) = p(t3/3) - q(t4/4)

    b) Then I integrated v(t) to get
    x(t) = p(t4/12) - q(t5/20) + c
    then subbed in x(0) = 0 to find c =0
    so x(t) = p(t4/12) - q(t5/20)
  2. jcsd
  3. Sep 6, 2010 #2
    looks good to me
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