{composition-setup}{composition-setup}
{table:rules=cols|cellpadding=8|cellspacing=0|border=1|frame=void}
{tr:valign=top}
{td}

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

h4. Description and Assumptions

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.

h4. Problem Cues

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


h2. Model

h4. Compatible Systems

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


h4. Relevant Interactions 

Only knowledge of the [net|net force] [external force|external force] is required to determine the motion of the system.


h4. Laws of Change 

{section}{column}
h5. 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}{color:white}_____{color}{column}{column}
h5. 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}


h2. Relevant Examples

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