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h1. Motion, Acceleration and Net Force
{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.
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h4. Problem Cues

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


h2. Model

h4. {color:red}Compatible Systems{color}

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


h4. {color:red}Relevant Interactions {color}

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


h4. {color:red} Laws of Change {color}

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h5. Differential Forms
{latex}\begin{large}\[ \frac{d\vec{v}}{dt} = \vec{a}\]\end{large}{latex}\\
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{latex}\begin{large}\[ \frac{d\vec{x}}{dt} = \vec{v}\]\end{large}{latex}\\
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h5. Integral Forms
{latex}\begin{large}\[ \vec{v}(t) = \vec{v}(t_{0})+\int_{t_{0}}^{t} \vec{a}\;dt\]\end{large}{latex}\\
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{latex}\begin{large}\[ \vec{x}(t) = \vec{x}(t_{0})+\int_{t_{0}}^{t} \vec{v}\;dt\]\end{large}{latex}\\
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h2. Relevant Examples

None yet.
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