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h2h1. Motion, DescriptionAcceleration and AssumptionsNet Force

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

h4. {toggle-cloak:id=desc} Description and Assumptions

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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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h2h4. {toggle-cloak:id=cues} Problem Cues

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

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h1. Prerequisite Knowledge

h3. Prior Models
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h4. {toggle-cloak:id=prior} Prior Models

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

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h3.
h4. {toggle-cloak:id=vocab} Vocabulary

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

h1. System{cloak}

h2. Model

h4. {toggle-cloak:id=sys} {color:red}Compatible Systems{color}

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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. {cloak}

h4. {toggle-cloak:id=int} {color:red}Relevant Interactions {color}

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

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h4. {toggle-cloak:id=laws} {color:red} Laws of Change {color}

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h6h5. 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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h6h5. 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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h1h2. Relevant Examples

None yet.
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