Symbols:Abbreviations/S/SUVAT
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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 $t$.