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P= F(t) • V(t) vs P = F • V to find power done

  1. Sep 28, 2016 #1
    1. The problem statement, all variables and given/known data
    What is the power delivered as a function of time?

    F(t) = m(12t-8)
    V(t) = (6t^2-8t)

    2. Relevant equations
    P = FV vs. P = F • V

    3. The attempt at a solution
    I'm given a force and velocity as functions of time. When I find power, do I multiply or dot them? I know you should dot when force and velocity are defined vectors, but here they are generalized and not represented by vectors but actually by functions.
     
  2. jcsd
  3. Sep 28, 2016 #2

    andrewkirk

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    Just multiply them. If they are given as scalar functions rather than vectors, it is implicit that all motion and force operates in a single dimension.
     
  4. Sep 28, 2016 #3
    Right... these are only in terms of a single dimension and vary with time - I don't know what was going on with my brain there. Thanks!
     
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