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Physics · KS3 and GCSE · Interactive lesson

Motion graphs and stopping distance

Read distance–time and velocity–time graphs. Follow an animated journey, recognise stops and explore thinking and braking distance.

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Explore an interactive example, then try the questions at your own pace.

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Start with the idea, then use the method when you are ready. Changing these settings changes the example. Your current practice question is kept.

Start with the idea explains the basics. Use the method builds on them with more detail.

KS3 / GCSE: read distance–time graphs and calculate speed from their gradient. Velocity–time gradients are GCSE work; area under the graph is an AQA Higher extension.

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KS3 / GCSE · start with the idea

By the end of this lesson: Read motion from the shape of a graph.

The interactive diagram and controls are in Stage 2, “Explore one example”. Read the idea here, then try it next.

The idea in small steps
  • On a distance–time graph, time runs across and total distance travelled runs up.
  • A rising line means distance is increasing. A flat line means the object is stopped.
  • A steeper rising line means more distance each second: a greater speed.
What do the words mean?
Gradient
How much the vertical value changes for each unit of horizontal change.
Velocity
Speed with a direction. Here the object only moves forwards or stops.
Acceleration
How quickly velocity changes, measured in m/s².

Change the example

Something to try

Change the speed. Read the new distances and the vertical-axis numbers. What happens to the total distance? Does the length of the stop change?

Notice what changes

Total distance (m)012240246810Time (s)Object travelling along a straight route0 m24 m
Distance after 10 s = 24 m
About this model

The line shows total distance, not the shape of the road. There is a stop from 4 s to 6 s; a speed of zero also adds no distance in either travel interval. Axis scales adapt; compare gradients only with the scales in mind. Use Play or the time slider to match the orange graph point to the object below. The route is straight; the graph is not the shape of the route. Playback takes two real seconds for each second shown and stops at 10 s. Read the route labels: its scale changes with the example.

The example you chose
Total distance (m)012240246810Time (s)Object travelling along a straight route0 m24 m

Distance after 10 s = 24 m

Still picture of the example from Stage 2. Use the back arrow to change it.

Work through it

Starting example: read the steps below

  1. In the first 4 s, speed is 3 m/s: distance = 3 × 4 = 12 m.
  2. From 4 s to 6 s, the line is flat. No more distance is added.
  3. In the last 4 s, speed is 3 m/s: another 12 m is travelled.
  4. Total distance = 12 + 12 = 24 m. The whole journey lasts 10 s, including the stop.

Try on your own

Your turn. No rush.

Question 1

On a distance–time graph, what does a flat segment mean?

Choose one answer
About these questions

Questions appear in a mixed order. Work at your own pace and stop whenever you like.

These questions use their own numbers, separate from the lesson example. You can stop whenever you like. Answers last for this visit to the page.

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Can you read the axis labels and explain what a rising or flat line means for that graph?

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Notes for parents and tutors

These lessons cover selected KS3 and GCSE ideas for England; they are not a complete course. The level notes explain where GCSE methods or optional extensions begin. Maurice can help you choose material for your course and exam board.

The content draws on the DfE Maths curriculum, DfE Science curriculum and AQA GCSE Physics specification. Level labels are guidance, not exam-board endorsements. For AQA Radioactivity, calculating net decline as a ratio is Higher-tier work. Net means the overall change; ask Maurice whether this extension is relevant to your course. Explanations and practice were reviewed during development on 21 October 2026; Maurice should check their fit before assigning work.

Topic labels and your lesson-view preference are saved in this browser. This tab also remembers the last lesson stage, so you can choose to continue there. If you choose revision, selected activities and suggested revisit dates are saved here too. Recent question codes are also kept to reduce repeats. Reflection notes are saved automatically per topic when you type them; you can delete a note in the recap. They stay in this browser and are visible to other people using it. Practice answers and enquiry details are not saved. Clearing browser data removes the labels.