Remember, acceleration is the same as gradient, and acceleration = velocity change ÷ time. To find the distance travelled, look at the area under the graph. In the first 10 seconds this is the ...

The steeper the line, the greater the increase in speed. The area under the graph = the distance travelled. This is a speed-time graph for a car moving between two sets of traffic lights.

Here is a velocity vs time graph for this same situation. As you can see from this plot, the distance traveled would be equivalent to the area under the velocity-time graph. OK, so what if the ...