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AP Physics 1 · Unit 1 · Kinematics

Constant Acceleration

Change velocity and acceleration, observe a reversal, and connect motion graphs with the constant-acceleration equations.

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Explore the model. Make predictions. Check your thinking.

Learn by doing

Three ideas you’ll put into motion

Separate velocity and acceleration

Run trials with matching and opposing directions to explain speeding up and slowing down.

Connect the graphs

Measure velocity–time slope and area, then compare the position graph.

Test a prediction

Use the kinematics relationships to predict a motion and check it against the simulation.

The big idea

The key ideas, at a glance.

Equal changes in equal times

Constant acceleration means velocity changes at a steady rate: vf = vi + aΔt. Constant velocity is a different condition.

Displacement during acceleration

Use Δx = viΔt + ½a(Δt)2. The velocity–time area represents that same displacement.

A quick comparison

Keep initial velocity fixed and compare two constant accelerations.

Larger acceleration → steeper velocity graph

velocitytimeSchematic relationship
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
Signed velocity, elapsed time, basic algebra, and the meaning of graph slope.
Built-in support
Prepared scenes, guided prompts, and feedback on lesson questions.
AP Physics 1 connections
Unit 1: acceleration, motion representations, and constant-acceleration relationships.
Check for understanding
Ask whether an object moving left can have positive acceleration, and what happens to its speed.
Optional extension
Extend the investigation with the Constant Acceleration lab.
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