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Lesson: Chapter 2 — Motion in a Straight Line

2.5. Displacement–time graphs 2 of 6

Question 2

What does the gradient of the line on a displacement–time graph represent?

The right answer is the one marked above.

The velocity. The gradient is the difference between the y coordinates divided by the difference between the x coordinates. On this graph the y axis carries displacement and the x axis carries time:

gradient = displacement ÷ time = velocity

Acceleration is the gradient of a velocity–time graph, not of a displacement–time graph. Mixing the two up is a common slip — always check what is on the y axis.

Answer the question to continue.