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Homework Help: Average and Instantaneous Velocity

  1. Nov 24, 2007 #1
    1. The problem statement, all variables and given/known data
    a. Show that if the position x of a moving point is given by a quadradic function of t,x = At^2 + Bt + C, then the average velocity over any time iunterval [t1,t2] is equal to the instantaneous velocity at the midpoint of the time interval.
    b. What is the geometric significance of the result in part (a)?
  2. jcsd
  3. Nov 25, 2007 #2


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    Homework Helper

    How do you calculate the average velocity over a given interval?
    How do you calculate the instantaneous velocity at a given moment?
    Can you give us the formulas?
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