Power Instantaneous

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Instantaneous power can be written as:

RankGuru · Accepted Answer

By definition, power is the derivative of work with respect to time:
$P = \frac{dW}{dt}$
Since $dW = \vec{F} \cdot d\vec{r}$:
$P = \frac{\vec{F} \cdot d\vec{r}}{dt} = \vec{F} \cdot \frac{d\vec{r}}{dt} = \vec{F} \cdot \vec{v}$
Thus, instantaneous power is the dot product of the force and velocity vectors.

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Power Instantaneous

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