[Model Hierarchy]
Description and Assumptions
This model is applicable to a single point particle moving with constant velocity. It is a subclass of the One-Dimensional Motion with Constant Acceleration model defined by the constraint a = 0.
Problem Cues
For pure kinematics problems, the problem will often explicitly state that the velocity is constant, or else some quantitative information will be given (e.g. a linear position versus time plot) that implies the velocity is constant.
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Prerequisite Knowledge
Prior Models
None.
Vocabulary
- [position (one-dimensional)]
- velocity
System
Constituents
A single point particle (or a system treated as a point particle with position specified by the center of mass).
State Variables
Time (t), position (x) and velocity (v).
Interactions
Relevant Types
In order for the velocity to be constant, the system must be subject to no net interaction.
Interaction Variables
None.
Model
Law of Change
\begin
$x = x_
+ v (t - t_
)$\end
Diagrammatical Representations
- Position versus time graph.
Relevant Examples
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