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Description

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[Model Hierarchy]

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The root page Model Hierarchy could not be found in space Modeling Applied to Problem Solving.

This model is applicable to a point particle moving with constant [velocity]. It is a subclass of the model One-Dimensional Motion with Constant Acceleration defined by the constraint a = 0.


Page Contents


Assumptions and Limitations

Prior Models

  • None assumed.

Vocabulary

  • [position (one-dimensional)]
  • [velocity (one-dimensional)]

Model Specification

System Schema

Internal Constituents: The system must be treated as a point particle when using this model.

External Agents: [External influences] must be absent or else cancel so that no acceleration results.

Descriptors

Object Variables: None.

State Variables: v, x, t

Interaction Variables: None.

Laws of Interaction

No net interaction is allowed.

Laws of Change

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$x = x_

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+ v(t-t_

)$\end


Alternative Representations of Laws of Change

The one Law of Change for this model can be rearranged to show that the [velocity] is equivalent to the slope of a [position] 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).


Relevant Examples

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RELATE wiki by David E. Pritchard is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 United States License.


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