Rate of Change in Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

The rate of change in acceleration ( \(a_c\) ) is the time derivative of acceleration, the second derivative of velocity or the third derivative of position.  In physics, it is known as the jerk. 

 

Rate of Change in acceleration Formula

\(\large{ a_c = \frac {d}{t}  }\)

\(\large{ a_c = \frac { a_f \;-\; a_i }{ t }; }\)

Where:

\(\large{ a_c }\) = rate of change in acceleration

\(\large{ d }\) = displacement

\(\large{ a_f }\) = final acceleration

\(\large{ a_i }\) = initial acceleration

\(\large{ t }\) = time taken for change in velocity

Tags: Equations for Acceleration