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Kinematics and forces
Lesson 9 of 10

Motion graphs

Objective. Interpret displacement–time and velocity–time graphs.

The key idea

On a displacement–time graph the gradient is velocity. On a velocity–time graph the gradient is acceleration and the area beneath is displacement.

Worked example

A velocity–time graph is a triangle: 0 to 10 m/s over 6 s. Distance?

Diagram of a triangle
  1. 1Area of triangle = ½ × base × height.
  2. 2½ × 6 × 10 = 30.

Answer: 30 m

Practice

Each question comes with a picture and a listen button. Try it first, then reveal the answer.

Common mistake. Reading the area of a displacement–time graph as if it meant something.

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