# Rate of Change in Velocity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

The rate of change in velocity, abbreviated as $$v_c$$, is the first derivative of velocity, the second derivative of position or the instantaneous change in velocity.  In physics, it is known as acceleration.

## Rate of Change in Velocity formulas

 $$\large{ v_c = \frac {s}{t} }$$ $$\large{ v_c = \frac { v_f \;-\; v_i }{ t } }$$

### Where:

$$\large{ v_c }$$ = rate of change in velocity

$$\large{ s }$$ = displacement

$$\large{ t }$$ = time taken tor change in velocity

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

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