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Modeling Scenario

3-013-WhiffleBallFall-ModelingScenario

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

Keywords: Akaike Information Criterion resistance gravity Free Body Diagram force falling object Whiffle ball

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Abstract

Resource Image We are given data on the time and position of a whiffle ball as it falls to the ground. We attempt to model the falling ball and we confront the different resistance terms and models.

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Article Context

Resource Type
Differential Equation Type
Qualitative Analysis
Application Area
Technology
Approach
Skills
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

We are given data on time and position of a free falling whiffle ball from a university laboratory. We will make a mathematical model of this phenomenon and estimate the parameters in the model. We shall also compare the model's predictive power with the actual data.

We introduce a new way of comparing models, the Akaike Information Criterion, and apply it to our models.

Article Files

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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