Rate of Change in Acceleration

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

The rate of change in acceleration, abbreviated as \(a_c\), 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. 

\(\large{ a_c = \frac {d}{t}  }\)

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

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