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3-103-PullBackCars-ModelingScenario

Author(s): Tova Brown1, Brody Johnson2

1. Wisconsin Lutheran College, Milwaukee WI USA 2. Saint Louis University, Saint Louis MO USA

Keywords: modeling dynamics hands-on toy pull-back car pullback

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Abstract

Resource Image This activity offers analysis of a toy pull-back car: solution of a differential equation from model; data collection and parameter estimation; and adapting the model to predict maximum speed and distance traveled for a new pull-back distance.

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Researchers should cite this work as follows:

Article Context

Resource Type
Differential Equation Type
Technique
Qualitative Analysis
Application Area
Course
Course Level
Lesson Length
Technology
Approach
Skills
Key Scientific Process Skills
Assessment Type
Pedagogical Approaches
Vision and Change Core Competencies - Ability
Principles of How People Learn
Bloom's Cognitive Level

Description

This modeling scenario guides students in a three-phase analysis of a toy pull-back car. The first component involves the solution of a second-order differential equation derived from a simple mathematical model of the pull-back car. The second component leads students through the process of data collection (optional) and parameter estimation using real data. Finally, the third component directs students to adapt the mathematical model to predict the maximum speed and distance traveled when a new pull-back distance is employed.

Throughout the modeling scenario, students are encouraged to compare model predictions with experimental findings. Ideally, students will be able to collect their own data; however, materials provided with the Student version will allow students to bypass data collection while still completing the remaining components of the modeling scenario.

Article Files

Authors

Author(s): Tova Brown1, Brody Johnson2

1. Wisconsin Lutheran College, Milwaukee WI USA 2. Saint Louis University, Saint Louis MO USA

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