Motion graphs turn a journey into a picture, and the chapter teaches you to read what the picture says. The key is knowing which graph you have, and whether the question needs the slope or the area.
The chapter sits in SPM Mathematics and is part of the Form 5 Mathematics topics.
How do the four lessons connect?
Each lesson adds one reading skill, and the last one separates them.
- Reading distance-time graphs: gradient is speed, and a flat line means stopped.
- Reading speed-time graphs: gradient is acceleration, and a flat line means constant speed.
- Calculating distance from a speed-time graph: distance is the area under the line.
- Distinguishing gradient from area in motion graphs: choose the right tool for the question.
What does one small journey show?
A train speeds up from 0 to 20 m/s in 10 seconds, stays at 20 m/s for 20 seconds, then slows to a stop in 10 seconds. On its speed-time graph, the first part has a gradient of 20 ÷ 10 = 2 m/s², the middle part has gradient 0, and the last part has gradient −2 m/s².
The total distance is the area: a triangle of 100 m, a rectangle of 400 m and another triangle of 100 m, which adds to 600 m.
The same graph gives acceleration from its slope and distance from its area, which is why the chapter asks you to separate the two.
Who should start where?
If graph questions feel like guessing which formula to use, begin at lesson one and move in order. If you can read each graph but lose marks deciding between slope and area, go straight to lesson four.
Test yourself with the motion graphs practice set, and use the motion-graph explorer to change a journey and watch both the gradient and area update.
When does extra help make sense?
Motion graph mistakes are usually about meaning, not arithmetic. A teacher who asks “what does this slope represent here?” as you work can redirect you in the moment.
If that would help, see online one-to-one Mathematics tuition and mention motion graphs when you enquire.