November 11, 2016

This simulation allows students to compare the motion of free falling objects with and without the influence of air resistance. Air resistance is the result of collisions of the object's leading surface with air molecules. On Earth, objects falling through the air usually encounter some sort of air resistance, though the amount is dependent upon several factors. In this model, a blue ball falls under the influence of gravity alone. A falling red ball is subject to both gravity and air resistance. Students can adjust the amount of air resistance with a slider. When the simulation is played, graphs are simultaneously plotted that show position vs. time, velocity vs. time, and acceleration vs. time for both falling balls. See Annotations for an editor-recommended, interactive tutorial that further explains free fall and air resistance. This item was created with Easy Java Simulations (EJS), a modeling tool that allows users without formal programming experience to generate computer models and simulations. To run the simulation, simply click the Java Archive file below. To modify or customize the model, See Related Materials for detailed instructions on installing and running the EJS Modeling and Authoring Tool.

- Mathematics > General

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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.?

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.