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Introduction to the Model
Description and Assumptions
This model is applicable to a single point particle subject to an acceleration that is constrained to one dimension and which is either parallel to or [anti-parallel] to the particle's initial velocity.
Learning Objectives
Students will be assumed to understand this model who can:
- Choose the one graph possible velocity or acceleration vs. time graphs which corresponds to a model position versus time graph.
- Differentiate position given as a polynomial function of time to find the corresponding velocity and acceleration.
- Integrate the velocity or acceleration when given as a polynomial function of time along with appropriate initial conditions to find the functional form of the position.
S.I.M. Structure of the Model
Compatible Systems
A single point particle (or a system treated as a point particle with position specified by the center of mass).
Relevant Interactions
Some time-varying external influence that is confined to one dimension.
Laws of Change
Mathematical Representation
Diagrammatic Representations
- position versus time graph
- [velocity versus time graph]
- acceleration versus time graph
- motion diagram
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Relevant Examples
AllExamplesRelevanttotheModel"> All Examples Relevant to the Model
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