Rate of Change in Acceleration

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.

 

rate of change in acceleration formula
\( a_c = d \;/\; t \)     (Rate of Change in Acceleration) \( d =  a_c \; t  \) \( t = d \;/\; a_c \)
Symbol	English	Metric
\( a_c \) = rate of change in acceleration	\(ft / sec^3\)	\(m / s^3\)
\( d \) = displacement	\( ft \)	\( m \)
\( t \) = time taken for change in velocity	\( sec \)	\( s \)