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Maxwell's Model
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The Maxwell model represents a car collision model in which the damper is in series with the spring representing the chassis’ hardness. 

Assumptions:  

The Maxwell model is assumed to have a mass, m’, between the spring and the damper. This mass is assumed to be zero. All other assumptions for the Kelvin model hold in this case. 

The spring and damper are connected in series with the mass. 

Derived Equation of Motion: 

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Conversion of Model into a system of first-order linear equations. (For the ode solver). 

In order to study the output of the model, we decided to use the ode solver to solve the third-order differential equation using numerical methods. These numerical methods are the Runge-Katta 4 and 5. 

When the Maxwell model is graphed with the Kelvin model, from the acceleration point of view, when compared to real data, the Maxwell model follows closer than the Kelvin Model which may be idealized too much 

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©2022 by Kofi Sannie Amosah, Jadis Aganda, and Desmond Kuuchi.

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