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

1. Sep 28, 2016

### Vitani11

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. Sep 28, 2016

### andrewkirk

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.

3. Sep 28, 2016

### Vitani11

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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