# Jerk

## Description

In physics, jerk, also known as jolt, surge, or lurch, is the rate of change of acceleration; that is, the derivative of acceleration with respect to time, the second derivative of velocity, or the third derivative of position.

Jerk is a vector, and there is no generally used term to describe its scalar magnitude (e.g., “speed” as the scalar magnitude for velocity).

## Variables

j | jerk (m/s^{3}) |

da | derivative of acceleration vector as function of time (m/s^{2}) |

dt | time (s) |