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Homework Help: Instantaneous Velocity

  1. Jun 8, 2010 #1
    Can anyone please explain to me how to work out instantaneous velocity. I do not understand it and how to apply it. Any help would be greatly appriciated.

    thank you.
  2. jcsd
  3. Jun 8, 2010 #2
    If the position of an insect is given by the equation F(T) = 5T3 - 2T2 - 48 and you want to find the instantaneous velocity at a particular point T = 12 seconds, you must solve for F'(12).

    That is, you take the derivative of F(T), which in this case is F'(T) = 15T2 - 4T
    and then you get F'(12) = 15(12)2 - 4(12)

    The derivative is the slope of the tangent line so it represents the instantaneous rate of change at a particular point.
    Last edited: Jun 8, 2010
  4. Jun 8, 2010 #3
    Thank you very much.
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