# Kinetic energy

In physics, the **kinetic energy** of an object is the form of energy that it possesses due to its motion.[1]
It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest. Formally, a kinetic energy is any term in a system's Lagrangian which includes a derivative with respect to time and the second term in a Taylor expansion of a particle's relativistic energy. [2][3]

Kinetic energy | |
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Common symbols | KE, E_{k}, K or T |

SI unit | joule (J) |

Derivations from other quantities | E_{k} = 1/2mv^{2} E_{k} = E_{t} + E_{r} |

Part of a series on |

Classical mechanics |
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In classical mechanics, the kinetic energy of a non-rotating object of mass *m* traveling at a speed *v* is . In relativistic mechanics, this is a good approximation only when *v* is much less than the speed of light.

The standard unit of kinetic energy is the joule, while the English unit of kinetic energy is the foot-pound.