Definition:Velocity/Straight Line

Definition

Let $P$ be a particle in motion along a straight line $\LL$ with velocity $\map {\mathbf v} t$ as a function of time $t$.

It is conventional to align $\LL$ along the $x$-axis of a Cartesian coordinate system such that the $\mathbf v$ can be expressed as $v \mathbf i$.

Then the unit vector $\mathbf i$ of the component vector $v \mathbf i$ is suppressed, and $\map {\mathbf v} t$ is treated as a scalar quantity $\map v t$.

Also see

• Results about velocity can be found here.

Sources

• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): acceleration-time graph