Jerk (physics)

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, and as such 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 (more precisely, its norm, e.g. "speed" as the norm of the velocity vector). According to the result of dimensional analysis of jerk, [length/time³], the SI units are m/s³ (or m·s⁻³); jerk can also be expressed in standard gravity per second (g/s).

Jerk can be formulated in any of the following equivalent ways:

where

There is no universal agreement on the symbol for jerk, but ${\displaystyle j}$ is commonly used. Newton's notation for the time derivative (${\displaystyle {\dot {a}},{\ddot {v}},{\overset {...}{r}}}$) is also applied.

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