Symbols:Abbreviations/S/SUVAT

Abbreviation: SUVAT

A category of problems in elementary applied mathematics and Newtonian physics involving a body $B$ under constant acceleration $\mathbf a$.

They consist of applications of the equations:

Let $B$ be a body under constant acceleration $\mathbf a$.

The following equations apply:

$(1):$ Velocity after Time

$\mathbf v = \mathbf u + \mathbf a t$

$(2):$ Distance after Time

$\mathbf s = \mathbf u t + \dfrac {\mathbf a t^2} 2$

$(3):$ Velocity after Distance

$\mathbf v \cdot \mathbf v = \mathbf u \cdot \mathbf u + 2 \mathbf a \cdot \mathbf s$

where:

$\mathbf u$ is the velocity at time $t = 0$

$\mathbf v$ is the velocity at time $t$

$\mathbf s$ is the displacement of $B$ from its initial position at time $t$

$\cdot$ denotes the dot product.

The term SUVAT arises from the symbols used, $\mathbf s$, $\mathbf u$, $\mathbf v$, $\mathbf a$ and $t$.