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h2. Description
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*Hierarchy of Models* {td}{tr}{tr}{td}
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This model applies to a point particle subject to an external force that is either parallel or antiparallel to the particle's initial velocity.  {excerpt}

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h2. Assumptions and Limitations


h4. Prior Models

* Link to model pages that should be learned before this model.

h4. Vocabulary

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

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h2. Model Specification


h4. *System Structure*


h4.  

*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.

h4. Descriptors

*Object Variables:* none

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

*Interaction Variables:* acceleration a.

h4. Laws of Interaction

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

\- A force that depends on time
: {latex} $ \vec{F}(t) $ $  {latex}\\

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- A force that depend on the particle's position: {latex} $\vec{F}(x)${latex}

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-A force that depend on the particle's velocity: {latex}$\vec{F}(v)${latex}
 
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h4. Laws of Change

Example:
{latex}

\begin
 {large}

$v_{\rm f} = v_{\rm i} + a (\int_{t_{\rm i}^{t_f} -a t_{\rm i})$(t) dt $

 \end{large}
{latex}

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h2. Relevant Examples

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