This set of interactive practice questions allows students of introductory physics to test their own understanding of the graphical depiction of motion. It consists of 37 questions/tasks, with answers provided. Extensive scaffolding is provided in the form of "Explanation" links.

Editor's Note: Physics education research shows that students often enter college courses with limited understanding of the meaning behind velocity-time graphs and position-time graphs, even after instruction. This activity lets them self-assess, an important step to achieve deeper understanding.

This resource is part of The Physics Classroom web site.

constant velocity, displacement, formative assessment, graphing assessment, interactive problems, motion graph, motion graphing, position vs. time, self-test, velocity, velocity vs. time

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Metadata instance created
September 10, 2011
by Caroline Hall

6-8: 4F/M3a. An unbalanced force acting on an object changes its speed or direction of motion, or both.

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/H1b. Sometimes the rate of change of something depends on how much there is of something else (as the rate of change of speed is proportional to the amount of force acting).

9-12: 9B/H4. Tables, graphs, and symbols are alternative ways of representing data and relationships that can be translated from one to another.

Common Core State Standards for Mathematics Alignments

Standards for Mathematical Practice (K-12)

MP.2 Reason abstractly and quantitatively.

High School — Functions (9-12)

Interpreting Functions (9-12)

F-IF.4 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.^{?}

F-IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.^{?}

Linear, Quadratic, and Exponential Models^{?} (9-12)

F-LE.1.b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

F-LE.1.c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

F-LE.5 Interpret the parameters in a linear or exponential function in terms of a context.

<a href="https://www.compadre.org/portal/items/detail.cfm?ID=11455">Henderson, Tom. The Physics Classroom: Graph Sketching and Recognition. February 28, 2011.</a>

Henderson, T. (2011, February 28). The Physics Classroom: Graph Sketching and Recognition. Retrieved February 20, 2018, from http://www.physicsclassroom.com/morehelp/graphpra/graphs.cfm

Henderson, Tom. The Physics Classroom: Graph Sketching and Recognition. February 28, 2011. http://www.physicsclassroom.com/morehelp/graphpra/graphs.cfm (accessed 20 February 2018).

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%0 Electronic Source %A Henderson, Tom %D February 28, 2011 %T The Physics Classroom: Graph Sketching and Recognition %V 2018 %N 20 February 2018 %8 February 28, 2011 %9 text/html %U http://www.physicsclassroom.com/morehelp/graphpra/graphs.cfm

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