The Physics Classroom: The Meaning of Shape for a v-t Graph

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The Physics Classroom: The Meaning of Shape for a v-t Graph

written by Tom Henderson

This interactive tutorial uses multiple graphs and animations to explore the relationship between the motion of an object and its Velocity vs. Time graph. Users explore the relationship between position and velocity, positive and negative velocities, slope and shape of graphs, and acceleration. Interactive self-evaluations are included.

This item is part of The Physics Classroom, a comprehensive set of tutorials and multimedia resources for high school physics.

https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm

Subjects	Levels	Resource Types
Classical Mechanics - Motion in One Dimension = Velocity	- High School	- Instructional Material = Tutorial - Audio/Visual = Image/Image Set = Movie/Animation

Intended Users	Formats	Ratings
- Learners	- text/html	Currently 5.0/5 Rated 5.0 stars by 1 person Want to rate this material? Login here!

Access Rights:: Free access
Restriction:: © 2004 The Physics Classroom
Keywords:: graph, illustration, position, slope, tutorial, velocity
Record Creator:: Metadata instance created November 4, 2005 by Amin Parnian
Record Updated:: September 20, 2012 by Caroline Hall
Last Update when Cataloged:: June 1, 2011
Other Collections:: The Physics Front

A very useful webpage

Author: Ameen Al Ameen
Posted: September 11, 2009 at 8:07PM
Source: The Physics Front collection

Avery useful webpage that free to learn physics in easy way
Well Done Bro!!!

Comment by Hazimin from Malaysia
Ex-Physics Teacher of Kolej Yayasan Saad, Ayer Keroh,Melaka

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AAAS Benchmark Alignments (2008 Version)

4. The Physical Setting

4F. Motion

6-8: 4F/M3b. If a force acts towards a single center, the object's path may curve into an orbit around the center.
9-12: 4F/H1. The change in motion (direction or speed) of an object is proportional to the applied force and inversely proportional to the mass.
9-12: 4F/H8. Any object maintains a constant speed and direction of motion unless an unbalanced outside force acts on it.

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.

9C. Shapes

9-12: 9C/H3c. A graph represents all the values that satisfy an equation, and if two equations have to be satisfied at the same time, the values that satisfy them both will be found where the graphs intersect.

Common Core State Standards for Mathematics Alignments

Expressions and Equations (6-8)

Represent and analyze quantitative relationships between dependent and independent variables. (6)

6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Understand the connections between proportional relationships, lines, and linear equations. (8)

8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

Functions (8)

Use functions to model relationships between quantities. (8)

8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

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.^?

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.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

Common Core State Reading Standards for Literacy in Science and Technical Subjects 6—12

Craft and Structure (6-12)

RST.9-10.4 Determine the meaning of symbols, key terms, and other domain-specific words and phrases as they are used in a specific scientific or technical context relevant to grades 9—10 texts and topics.

Range of Reading and Level of Text Complexity (6-12)

RST.9-10.10 By the end of grade 10, read and comprehend science/technical texts in the grades 9—10 text complexity band independently and proficiently.

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Record Link

<a href="https://psrc.aapt.org/items/detail.cfm?ID=3313">Henderson, Tom. The Physics Classroom: The Meaning of Shape for a v-t Graph. June 1, 2011.</a>

AIP Format

T. Henderson, (2004), WWW Document, (https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm).

AJP/PRST-PER

T. Henderson, The Physics Classroom: The Meaning of Shape for a v-t Graph (2004), <https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm>.

APA Format

Henderson, T. (2011, June 1). The Physics Classroom: The Meaning of Shape for a v-t Graph. Retrieved September 19, 2024, from https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm

Chicago Format

Henderson, Tom. The Physics Classroom: The Meaning of Shape for a v-t Graph. June 1, 2011. https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm (accessed 19 September 2024).

MLA Format

Henderson, Tom. The Physics Classroom: The Meaning of Shape for a v-t Graph. 2004. 1 June 2011. 19 Sep. 2024 <https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm>.

BibTeX Export Format

@misc{ Author = "Tom Henderson", Title = {The Physics Classroom: The Meaning of Shape for a v-t Graph}, Volume = {2024}, Number = {19 September 2024}, Month = {June 1, 2011}, Year = {2004} }

Refer Export Format

%A Tom Henderson %T The Physics Classroom: The Meaning of Shape for a v-t Graph %D June 1, 2011 %U https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm %O text/html

EndNote Export Format

%0 Electronic Source %A Henderson, Tom %D June 1, 2011 %T The Physics Classroom: The Meaning of Shape for a v-t Graph %V 2024 %N 19 September 2024 %8 June 1, 2011 %9 text/html %U https://www.physicsclassroom.com/Class/1DKin/U1L4a.cfm

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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 Style.org: Electronic References.

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The Physics Classroom: The Meaning of Shape for a v-t Graph:

Accompanies V/T Graphing Lab

Teacher's Guide to a V/T graphing lab by the same author that supplements this tutorial. Requires motion detectors.

relation by Caroline Hall

Has Student Extra Walter Fendt Physics Applets: Motion with Constant Acceleration

Experiment with velocity-time (and position-time) plots with this interactive Java applet.

relation by Tom Henderson

Has Teaching Guide Walter Fendt Physics Applets: Motion with Constant Acceleration

This interactive simulation will help students relate the shape of v-t (and p-t) plots to the actual motion.

relation by Tom Henderson

Has Teaching Guide PhET Simulation: The Moving Man

Explore the relationship between graphs and motion with The Moving Man simulation from PHET.

relation by Tom Henderson

Has Student Extra PhET Simulation: The Moving Man

Explore the relationship between motion graphs and motion with PHET's The Moving Man simulation.

relation by Tom Henderson

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