The SUVAT equations describe motion in a given direction when ACCELERATION IS CONSTANT. The full set of equations that you should commit to memory are given by:

where

Variable/Constant | Description | SI unit |
---|---|---|

S | displacement | m (metres) |

U | initial velocity | m/s (metres per second) |

V | final velocity | m/s (metres per second) |

A | acceleration | m/s/s (metres per second per second) |

T | total time | s (seconds) |

SUVAT equations 1. and 2. have already been seen here: motion in a straight line. The remaining SUVAT equations can be derived using these two equations.

**Equation 3** – equation 1. can be rearranged to make T the subject so that which can be substituted into equation 2:

and rearranged gives

**Equation 4** – the expression for V in equation 1. can be substituted directly into equation 2:

**Equation 5** – equation 1. can be rearranged to make U the subject so that . This can be substituted into equation 4 to give