# Rate of Change in acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

## Rate of Change in acceleration

The rate of change in acceleration ( $$a_c$$ ) is the change in position or the ratio that shows the relationship of change of an object.

### Rate of Change in acceleration Formula

$$a_c = \frac {d}{t}$$          $$rate \; of \; change \; in \; acceleration \;=\; \frac { displacement }{ time }$$

$$a_c = \frac { a_f \;-\; a_i }{ t }$$          $$rate \; of \; change \; in \; acceleration \;=\; \frac { final \; acceleration \;-\; initial \; acceleration } { time \; taken \; for \; change \; in \; velocity }$$

Where:

$$a_c$$ = rate of change in acceleration

$$a_f$$ = final acceleration

$$a_i$$ = initial acceleration

$$d$$ = displacement

$$t$$ = time taken for change in velocity