Measure acceleration
Use velocity–time slope to describe how quickly velocity changes.
AP Physics 1 · Unit 1 · Kinematics
Acceleration Graphs
Translate between position, velocity, and acceleration graphs. Use motion evidence to explain slopes, signed areas, and direction changes.
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Learn by doing
Three ideas you’ll put into motion
Connect signed areas
Distinguish the velocity change from acceleration–time area and displacement from velocity–time area.
Follow changing motion
Compare graphs across successive motion segments, including a reversal.
The big idea
The key ideas, at a glance.
Slope connects rates
Position–time slope gives velocity; velocity–time slope gives acceleration. A graph’s height and slope describe different quantities.
Area connects changes
Acceleration–time area gives Δv, so add the initial velocity to find final velocity. Velocity–time area gives Δx.
A quick comparison
An acceleration of +2 m/s² acts for 3 s.
Velocity change +6 m/sFinal velocity also needs vi
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
- Position–time and velocity–time graphs, signed numbers, and rectangle and triangle areas.
- Built-in support
- Prepared scenes, guided prompts, and feedback on lesson questions.
- AP Physics 1 connections
- Unit 1: translating between motion representations using slope and area.
- Check for understanding
- Ask why a positive velocity change does not by itself determine the final velocity.
Ready to test your thinking?
The first scene is set up. Start the lesson and explore.