> [!summary]
Distance is the total path travelled
>
**Key Equations:**
>
Distance:
$|\Delta x| = |x_{2}-x_{1}|$
>[!info]+ Read Time
**⏱ 1 min**
# Definition
Distance is the **total path travelled**. It's always a positive [[Scalar & Vectors|scalar]] quantity. Distance is never zero unless you don't move over time. Mathematically, distance is described as the total accumulated motion from a to b:
$
\begin{array}{c}
\text{Distance (1D)} = |\Delta x| = |x_{2}-x_{1}| \\ \\
\text{Or as a form of velocity:} \\
\Delta x = \int_{a}^b |v(t)|dt
\end{array}
$
# Resources
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