November 11, 2016

The Introductory Physics 1D Motion Lab asks students to develop a computer model for a ball moving vertically under the influence of gravity. When the file is opened, it is initially programmed with a mass moving at constant velocity. It is assumed that students have first collected data of a basketball or volleyball bouncing under a motion detector. The lab instructions fully explain how to build the computer model using Easy Java Simulations modeling tool. The students will learn how to modify the model to simulate a bouncing ball, define variables, calculate relationships, and change the properties for plotting the graph. The calculus is done for the student. Editor's Note: The Easy Java Simulation tool greatly reduces the amount of programming required to develop computer models. Exercises in student-generated modeling are becoming much more widespread in physics education because of the opportunities for students to test and apply their own prototypes to explain and predict physical phenomena. This resource is distributed as a ready-to-run (compiled) Java archive. In order to modify the simulation (and see how it is designed), users must install the Easy Java Simulations Modeling and Authoring Tool. SEE RELATED MATERIALS for a link to install the EJS modeling tool.

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Model with mathematics.

Create equations that describe numbers or relationships

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

Interpret functions that arise in applications in terms of the context

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.?

Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.?

Construct and compare linear, quadratic, and exponential models and solve problems

Distinguish between situations that can be modeled with linear functions and with exponential functions.

Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

Interpret expressions for functions in terms of the situation they model

Interpret the parameters in a linear or exponential function in terms of a context.