h2. Description
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{excerpt}This model is applicable to a [point particle] moving with constant [velocity|velocity (one-dimensional)]. It is a subclass of the model [One-Dimensional Motion with Constant Acceleration|1-D Motion (Constant Acceleration)] defined by the constraint _a_ = 0.{excerpt}
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h2. Assumptions and Limitations
h4. Prior Models
* None assumed.
h4. Vocabulary
* [position (one-dimensional)]
* [velocity (one-dimensional)]
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h2. Model Specification
h4. System Schema
*Internal Constituents:* The system must be treated as a [point particle] when using this model.
*External Agents:* [External influences|external influencesforce] must be absent or else cancel so that no [acceleration] results.
h4. Descriptors
*Object Variables:* None.
*State Variables:* v, x, t
*Interaction Variables:* None.
h4. Laws of Interaction
No net interaction is allowed.
h4. Laws of Change
{latex}\begin{large}$x = x_{\rm i} + v(t-t_{\rm i})$\end{large}{latex}\\
h4. Alternative Representations of Laws of Change
The one [Law of Change] for this model can be rearranged to show that the [velocity|velocity (one-dimensional)] is equivalent to the slope of a [position|position (one-dimensional)] versus time graph. Since this model assumes velocity is constant, the [Law of Change] will result in _linear_ position versus time graphs (i.e. graphs with constant slope).
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h2. Relevant Examples
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