Description
[Model Hierarchy]
This model is applicable to a point particle moving with a constant velocity. It is a subclass of the model One-Dimensional Motion with Constant Acceleration defined by the constraint a = 0.
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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
\begin
$x = x_
+ v(t-t_
)$\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 |
