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In physics, tug is sometimes used to denote the derivative of yank with respect to time, or mass multiplied by jounce. It is equal to the third derivative of momentum with respect to time. Though not universally accepted as an official term for this quantity, the term tug is commonly used.[citation needed]

Tug is described by the following equation:

$\mathbf{T}=\frac{\mathrm{d}^3\mathbf{p}}{\mathrm{d}t^3}=m\frac{\mathrm{d}^3\mathbf{v}}{\mathrm{d}t^3}$

where

$\mathbf{p}$ is momentum
$m$ is mass
$\mathbf{v}$ is velocity
$t$ is time

The units of tug are yank per time, or equivalently, mass times length per time to the 4th power; in the SI unit system this is kilogram metres per second to the fourth (kg·m/s4), or newtons per second squared (N/s2).