# Consider an endurance test that measures only aerobic fitness. This test could be a swimming test, running

## Question:

Consider an endurance test that measures only aerobic fitness. This test could be a swimming test, running test, or bike test. Assume that we want all competitors to do an equal amount of work. Build a mathematical model that relates work done by the competitor to some measurable characteristic, such as height or weight. Next consider a refinement using kinetic energy in your model. Collect some data for one of these aerobic tests and determine the reasonableness of these models.

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**Related Book For**

## A First Course In Mathematical Modeling

**ISBN:** 9781285050904

5th Edition

**Authors:** Frank R. Giordano, William P. Fox, Steven B. Horton