Siyapath
Sign up

Lesson: Chapter 2 — Motion in a Straight Line

2.6. Velocity–time graphs 2 of 8

Question 2

On a velocity–time graph, what does the area of the region under the line represent?

The right answer is the one marked above.

The displacement. On a velocity–time graph the x axis carries time and the y axis carries velocity. An area is those two multiplied together:

velocity × time = displacement

So the numerical value of the area covered by the graph equals the displacement. This holds just as well for a uniform velocity (a rectangle) as for a uniform acceleration (a triangle or a trapezium).

Acceleration comes from the gradient, not from the area.

Answer the question to continue.