{table:rules=cols|cellpadding=8|cellspacing=0|border=1|frame=void}
{tr:valign=top}{td:width=355px|bgcolor=#F2F2F2}
{live-template:Left Column}
{td}
{td}

h2. Description and Assumptions

{excerpt:hidden=true}*System:* One [point particle|point particle]. --- *Interactions:* Any.{excerpt}

This model is technically applicable to any [point particle] system.  In practice, however, the vector equations in this model are usually split into three one-dimensional equations, so that the [One-Dimensional Motion (General)] model is nearly as general, and more easily used.


h2. Problem Cues

This model is rarely needed in introductory mechanics, and is presented principally for intellectual completeness of the hierarchy.

|| Page Contents ||
| {toc:style=none|indent=10px} |

h1. Prerequisite Knowledge

h3. Prior Models

* [1-D Motion (Constant Velocity)]
* [1-D Motion (Constant Acceleration)]
* [One-Dimensional Motion (General)]

h3. Vocabulary

* [position (one-dimensional)]
* [velocity]
* [acceleration]

h1. System

A single [point particle|point particle] (or a system treated as a point particle with position specified by the center of mass).

h1. Interactions

Any.

h1. Model

h3. Laws of Change

{section}{column}
h6. Differential Forms
{latex}\begin{large}\[ \frac{d\vec{v}}{dt} = \vec{a}\]\end{large}{latex}\\
\\
{latex}\begin{large}\[ \frac{d\vec{x}}{dt} = \vec{v}\]\end{large}{latex}\\
\\
{column}{column}
h6. Integral Forms
{latex}\begin{large}\[ \vec{v}(t) = \vec{v}(t_{0})+\int_{t_{0}}^{t} \vec{a}\;dt\]\end{large}{latex}\\
\\
{latex}\begin{large}\[ \vec{x}(t) = \vec{x}(t_{0})+\int_{t_{0}}^{t} \vec{v}\;dt\]\end{large}{latex}\\
{column}{section}

h1. Relevant Examples

None.
----
{search-box}
\\
\\
{td}
{tr}
{table}

{live-template:RELATE license}