Read the slope
Compare position graphs and use their slopes to determine velocity.
AP Physics 1 · Unit 1 · Kinematics
Position and Velocity Graphs
Connect motion to position–time and velocity–time graphs. Measure slope and area, then test what they tell you about a trip.
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- Self-paced
Start guided lesson
Learn by doing
Three ideas you’ll put into motion
Measure displacement
Use signed velocity–time area to connect a graph with a change in position.
Match representations
Compare the moving object, its velocity, and its graph before checking your prediction.
The big idea
The key ideas, at a glance.
Position–time slope
The slope of a position–time graph gives velocity. A steeper slope means greater speed; a negative slope means motion in the negative direction.
Velocity–time area
Signed area gives displacement. Portions below the time axis subtract from the net change in position.
A quick comparison
Compare two straight position–time graphs over the same time interval.
Steeper line → greater speed
Teaching this topic?Classroom fit, AP connections, and support
- Classroom fit
- Use for a concept introduction, guided independent practice, or a projected class discussion.
- Before students begin
- Read coordinates and distinguish displacement from distance. Basic division is enough for slope.
- Built-in support
- Prepared scenes, guided prompts, and feedback on lesson questions.
- AP Physics 1 connections
- Unit 1: representing motion with graphs, equations, and descriptions.
- Check for understanding
- Ask students to distinguish the height of a position graph from its slope.
- Optional extension
- Try the separate Motion Graphing lab for more data collection.
Ready to test your thinking?
The first scene is set up. Start the lesson and explore.