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Graph Matching Motion Model
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).
1 source code document is available
Subjects Levels Resource Types
Classical Mechanics
- Motion in One Dimension
= Acceleration
= Position & Displacement
= Velocity
- Newton's Second Law
= Force, Acceleration
- Lower Undergraduate
- High School
- Middle School
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
- Audio/Visual
= Movie/Animation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
This material is released under a GNU General Public License Version 3 license.
Rights Holder:
Andrew Duffy, Boston University
a/t graphs, acceleration, graph analysis, graphing motion, graphs of motion, modeling, motion, motion diagram, motion graphs, p/t graphs, v/t graphs, velocity
Record Cloner:
Metadata instance created May 2, 2010 by Mario Belloni
Record Updated:
June 6, 2014 by Andreu Glasmann
Last Update
when Cataloged:
April 16, 2010
Other Collections:

AAAS Benchmark Alignments (2008 Version)

9. The Mathematical World

9B. Symbolic Relationships
  • 6-8: 9B/M3. Graphs can show a variety of possible relationships between two variables. As one variable increases uniformly, the other may do one of the following: increase or decrease steadily, increase or decrease faster and faster, get closer and closer to some limiting value, reach some intermediate maximum or minimum, alternately increase and decrease, increase or decrease in steps, or do something different from any of these.
  • 9-12: 9B/H4. Tables, graphs, and symbols are alternative ways of representing data and relationships that can be translated from one to another.
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Record Link
AIP Format
A. Duffy, Computer Program GRAPH MATCHING MOTION MODEL (2010), WWW Document, (
A. Duffy, Computer Program GRAPH MATCHING MOTION MODEL (2010), <>.
APA Format
Duffy, A. (2010). Graph Matching Motion Model [Computer software]. Retrieved June 19, 2024, from
Chicago Format
Duffy, Andrew. "Graph Matching Motion Model." (accessed 19 June 2024).
MLA Format
Duffy, Andrew. Graph Matching Motion Model. Computer software. 2010. Java (JRE) 1.5. 19 June 2024 <>.
BibTeX Export Format
@misc{ Author = "Andrew Duffy", Title = {Graph Matching Motion Model}, Month = {April}, Year = {2010} }
Refer Export Format

%A Andrew Duffy %T Graph Matching Motion Model %D April 16, 2010 %U %O application/java

EndNote Export Format

%0 Computer Program %A Duffy, Andrew %D April 16, 2010 %T Graph Matching Motion Model %8 April 16, 2010 %U

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Citation Source Information

The AIP Style presented is based on information from the AIP Style Manual.

The APA Style presented is based on information from APA Electronic References.

The Chicago Style presented is based on information from Examples of Chicago-Style Documentation.

The MLA Style presented is based on information from the MLA FAQ.

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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

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