# Constant Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Constant acceleration, abbreviated as $$a_c$$, of an object is the constant rate in a straight line at which the velocity changes with respect to time.  These formulas can not be used if acceleration is not constant.

## Constant Acceleration formulas

 $$\large{ v = v_i + at }$$ $$\large{ d = \frac { 1 } { 2 } \left( v_f + v_i \right) t }$$ $$\large{ d = v_i t \;+\; \frac { 1 } { 2 } a t^2 }$$ $$\large{ d = v_f t \;-\; \frac { 1 } { 2 } a t^2 }$$ $$\large{ v^2 = v_i^2 + 2ad }$$

### Where:

$$\large{ d }$$ = displacement

$$\large{ a }$$ = acceleration

$$\large{ v_f }$$ = final velocity

$$\large{ v_i }$$ = initial velocity

$$\large{ t }$$ = time

$$\large{ v }$$ = velocity