# Instantaneous Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Instantaneous acceleration, abbreviated as $$a_i$$, is the acceleration at a particular moment in time along its path.

## Instantaneous Acceleration formula

 $$\large{ a_i = \frac { d v} {d t } }$$

### Where:

$$\large{ a_i }$$ = instantaneous acceleration

$$\large{ dt }$$ = time differential (derivative)

$$\large{ dv }$$ = velocity differential (derivative)