One-Dimensional Motion (General)

Description

This model applies to a point particle subject to an external force that is either parallel or antiparallel to the particle's initial velocity. 

Assumptions and Limitations

Prior Models

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Vocabulary

• [frame of reference]
• [position (one-dimensional)]
• [velocity (one-dimensional)]
• [acceleration (one-dimensional)]

Model Specification

System Structure

Internal Constituents: Point particle.

Environment: external agents interacting with the particle which are the responsible of the real forces acting on the particle. The total external force must be parallel or anti-parallel to the paticle's initial velocity.

Descriptors

Object Variables: none

State Variables: Time (t), position , and velocity (v).

Interaction Variables: acceleration a.

Laws of Interaction

Any external force which magnitude is not constant. Possible forces are:

- A force that depends on time:

- A force that depend on the particle's position:

-A force that depend on the particle's velocity:

Laws of Change

Relevant Examples

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