Resources

Modeling Scenario

1-142-WaterBottles-ModelingScenario

Author(s): Brody Dylan Johnson1, Elodie Pozzi2

1. Saint Louis University 2. St. Louis University, St. Louis MO USA

Keywords: data collection experiment half-life Newton's Law of Cooling water bottle

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Abstract

Resource Image This project involves the application of Newton's law of cooling to the study of insulated water bottles. Students have the option to conduct experiments with their own bottles outside of class or use data included in the student version.

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Article Context

Description

The modeling scenario leads the students through an analysis of the phase line, the solution of the separable differential equation, and the implementation of the model on the data. Finally, the notion of half-life for a water bottle is introduced, which provides a concrete point of comparison for the quality of two insulated water bottles.

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Authors

Author(s): Brody Dylan Johnson1, Elodie Pozzi2

1. Saint Louis University 2. St. Louis University, St. Louis MO USA

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