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Homework Help: Variable acceleration with one premise

  1. Sep 13, 2010 #1
    1. The problem statement, all variables and given/known data

    A particle's acceleration is given by the equation a(t) = 2t + 1 m/seg^2. If its velocity at t = 2 equals 5 m/seg, how much does its displacement change from t = 2 to t = 4?

    2. Relevant equations

    3. The attempt at a solution

    I thought I could integrate the acceleration equation to get the velocity equation, but when I solve this equation for t = 2, I don't get 5 m/seg as the problem states. Here's the equation I came up with:

    v(t) = t^2 + t

    Should I add a -1 to the end so the equation satisfies the premise?
  2. jcsd
  3. Sep 13, 2010 #2
    What is seg?
  4. Sep 13, 2010 #3
    I'm sorry, second.
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