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Average Velocity of a particle

  1. May 4, 2010 #1
    1. The problem statement, all variables and given/known data

    The velocity, in ft/sec, of a particle moving along the x-axis is given by the function v(t) = e^t + te^t. What is the average velocity of the particle from time t=0 to time t=3?

    Answer: 20.086

    2. Relevant equations

    3. The attempt at a solution

    Average velocity means the derivative formula, [s(t + Δt) - s(t)] / (Δt)
    In other words, I get

    [v(3) - v(0)] / (3-0)
    [e3 - 3e3] / 3
    And I got 26.447​

    However, the answer is 20.086.

    What did I do wrong?
  2. jcsd
  3. May 4, 2010 #2


    Staff: Mentor

    The average value of a function f(x) on an interval [a, b] is
    [tex]\frac{1}{b - a} \int_a^b f(x) dx[/tex]
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