# Question #f736b

Jul 12, 2016

The equation for instantaneous velocity at a time $t$ is the first derivative of position.
If a function $\vec{x} \left(t\right)$ describes an object's position at any time $t$, then the velocity will be the first derivative of $\vec{x} \left(t\right)$ with respect to time:
$\vec{v} \left(t\right) = \frac{d}{\mathrm{dt}} \vec{x} \left(t\right)$