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Description and Assumptions

This model is technically applicable to any point particle system. In practice, however, the vector equations in this model are usually split into three one-dimensional equations, so that the One-Dimensional Motion (General) model is nearly as general, and more easily used.

Problem Cues

This model is rarely needed in introductory mechanics, and is presented principally for intellectual completeness of the hierarchy.

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

Only knowledge of the net external force is required to determine the motion of the system.

Laws of Change

Differential Forms
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\begin

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[ \frac{d\vec{v}}

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= \vec

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]\end



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\begin

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[ \frac{d\vec{x}}

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= \vec

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]\end



_____

Integral Forms
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\begin

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[ \vec

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(t) = \vec

(t_

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)+\int_{t_{0}}^

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\vec

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\;dt]\end



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\begin

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[ \vec

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(t) = \vec

(t_

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)+\int_{t_{0}}^

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\vec

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\;dt]\end


Relevant Examples

None yet.


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