# 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

$$\large{ dv }$$ = velocity differential