GCSE · Physics · AQA · Spec 8463

Distance–time graphs

Reading a distance–time graph

Use the gradient tools to extract speed from each section of the journey.

Predict, then check

Look at each section description — commit to an answer before you reveal.

A distance–time graph has three sections: (1) a steep straight line, (2) a horizontal flat section, (3) a shallower straight line. Which section shows the object moving at its FASTEST speed?

How to find speed from a distance–time graph

Follow every step in order — this is the method examiners expect to see written down.

  1. Higher tier: curved sectionIf the section is curved, the speed is changing. To find the speed at one specific instant, draw a straight line that just touches the curve at that point without crossing it, then calculate its gradient using the same rise ÷ run method.

Relationship matrix

Tap any cell to reveal it. Tap a column header to read one property down every item.

SpeedSpeed changing?Gradient
Steep straight lineLarge gradient
Shallow straight lineSmall gradient
Horizontal lineZero gradient
Curve (getting steeper)Increasing gradient

Each cell hides a short answer and the reason behind it. Predict before you tap.

Higher

Process · Closed loop

Higher tier: Finding instantaneous speed from a curve

Use this repeatable cycle whenever the distance–time graph is curved.

Stage 01

Locate the point

Find the exact point on the curve where you need the instantaneous speed. Mark it clearly with a dot.

Exam line: Higher tier: The examiner must see the straight line drawn on the graph and your gradient triangle labelled — without them, you cannot earn the method marks.
Watch out: Higher tier: Do not draw a line joining two points on the curve — that gives average speed, not instantaneous speed. The line must touch the curve at exactly ONE point.

AQA Paper 2 — exam technique

AQA mark-scheme practice

Does this student answer contain the phrases that unlock marks?

Question

Describe the motion shown by the distance–time graph. Section A: steep straight line for 10 s. Section B: horizontal line for 5 s. Section C: shallower straight line for 10 s.

Student answer

In section A the object moves at constant speed. In section B the object is stationary. In section C the object moves at constant speed but more slowly than in section A.

Method marks0/3

Equations you need

Taken directly from the exam-board specification.

v = s / t

v = speed (m/s) · s = distance (m) · t = time (s)

Learn it — you must recall this in the exam

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

How to read gradient as speed — and spot acceleration from a curve.

Learning with Lightbulb is opening soon

You can use this lesson now. Join the waitlist and we'll let you know when the full Lightbulb experience is ready.

Keep me posted

More AQA GCSE Physics topics

See the full AQA Physics curriculum →

How this lesson was checked. This AQA GCSE Physics (specification 8463)lesson was published through Lightbulb Learning's human-designed editorial process — the educational standards, accuracy rules and publication checks it must pass were authored and approved by Philip Halpin. It passed subject-specific assessment, automated educational checks and technical publication verification before going live (publication checks completed 3 August 2026). Published pages are monitored, human spot-checking is ongoing across the lesson library, and anything found wrong is corrected or withdrawn. How our lessons are made and checked. Spotted a mistake? Email hello@lightbulblearning.co and we'll review it.

Helpful guides for parents and students