# What is the formula for instantaneous velocity?

Nov 8, 2015

Instantaneous velocity is the derivative or slope of the distance function.

#### Explanation:

Let the distance function be $s \left(x\right)$

Then, the instantaneous velocity at x:

instantaneous velocity $= v \left(x\right) =$ ""_(hrarr0)^lim[s(x+h)-s(x)]/h

hope that helps