Jerk: The time rate of change of acceleration

The time rate of change of acceleration has been called the jerk and is important in certain applications of mechanics and acoustics. For planar motion, the jerk vector is resolved here into tangential-normal and radial-transverse components, and the normal component is expressed in terms of an affine differential invariant known as the aberrancy. Using known aberrancy properties of curves, several geometrical properties of the jerk vector are established for plane motion.