# What is the derivative definition of instantaneous velocity?

##### 1 Answer

Instantaneous velocity is the change in position over the change in time. Therefore, the derivative definition of instantaneous velocity is:

instantaneous velocity=

So basically, instantaneous velocity is the derivative of the position function/equation of motion. For example, let's say you had a position function:

Since

That is the function of the instantaneous velocity in this case. Note that it is a function because instantaneous velocity is variable- It is dependent on time, or the "instant." For every

Let's say we wanted to know the velocity at