Power (source code)
= Power
{title2=$P=dW/dt$}
{wiki=Power_(physics)}
<Power> describes how quickly <energy> is transferred. For mechanical <work>, the instantaneous <power> supplied by a <force> is
$$
P(t)=\frac{dW}{dt}=\mathbf F(t)\cdot\mathbf v(t),
\qquad W=\int_{t_i}^{t_f}P(t)\,dt.
$$
The <SI> unit is $\mathrm W=\mathrm{J/s}=\mathrm{N\,m/s}$, distinct from the <velocity> unit $\mathrm{m/s}$. The italic symbol $W$ for <work> and the upright unit $\mathrm W$ for <power> mean different things. Two processes can transfer the same <energy> while requiring different <powers>: doing $12\,\mathrm J$ of <work> in $2\,\mathrm s$ requires an average $6\,\mathrm W$, whereas doing it in $4\,\mathrm s$ requires an average $3\,\mathrm W$. https://openstax.org/books/university-physics-volume-1/pages/7-4-power[OpenStax University Physics 1, §7.4: Power]{ref}
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