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written by Andrew Duffy
The Graph Matching Motion Model shows the graph of position as a function of time, and the motion diagram, for a particular object that experiences one-dimensional motion with constant acceleration. Using the sliders, try to match the motion of the red object to that of the blue object - this should also get the two position versus time graphs to match. Then, predict what the velocity and acceleration graphs look like, by sliding the end points of the red lines up or down to give correct straight-line graphs.
The Graph Matching Motion model was created using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_bu_vector_graph_matching.jar file will run the program if Java is installed.
Please note that this resource requires at least version 1.5 of Java (JRE).
View the source code document attached to this resource
AAAS Benchmark Alignments (2008 Version)
9. The Mathematical World
9B. Symbolic Relationships
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Graph Matching Motion Model:
Is Based On Easy Java Simulations Modeling and Authoring Tool
The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Graph Matching Motion Model.relation by Mario Belloni
Covers the Same Topic As Relations between displacement/velocity/acceleration
Is a Teaching Guide For Physics Classroom: The Meaning of Slope for a position-time Graph
Is a Teaching Guide For The Physics Classroom: Describing Motion with Position vs. Time Graphs
Is a Teaching Guide For The Physics Classroom: The Meaning of Shape for a v-t Graph
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