# Displacement

Displacement, abbreviated as d or DISP, is the change in position. Displacement is a vector quantity having magnitude and direction, some of these include acceleration, drag, force, lift, momentum, thrust, torque, velocity, and weight.

## Displacement formulas

FORMULA: | SOLVE FOR: |

\(\large{ d = v \; t }\) | |

\(\large{ d = v_i \; t + \frac {1}{2} \; a \; t^2 }\) | (acceleration) (initial velocity) (time) |

\(\large{ d = A \; sin \; ( \omega \; t ) }\) | (amplitude) |

\(\large{ d = \frac {P_d \; t}{F} }\) | (displacement power) (force) (time) |

\(\large{ d = x_f - x_i }\) | (final position) (initial position) |

\(\large{ d = \frac {\tau}{F} }\) | (force) (torque) |

\(\large{ d = \frac{W}{F} }\) | (force) (work) |

### Where:

\(\large{ d }\) = displacement

\(\large{ a }\) = acceleration

\(\large{ A }\) = amplitude

\(\large{ \omega }\) (Greek symbol omega) = angular frequency

\(\large{ P_d }\) = displacement power

\(\large{ F }\) = force

\(\large{ x_f }\) = final position

\(\large{ x_i }\) = initial position

\(\large{ P }\) = power

\(\large{ t }\) = time

\(\large{ \tau }\) (Greek symbol tau) = torque

\(\large{ v }\) = velocity

\(\large{ v_i }\) = initial velocity

\(\large{ W }\) = work

Tags: Equations for Velocity Equations for Motion Equations for Displacement