Let's start with an example ... acceleration problem? A constant velocity problem. Yes, let's do that. If an object moves with a velocity v, how far does it travel during some time interval?

Save guides, add subjects and pick up where you left off with your BBC account. Carol is jogging at constant velocity. Below is the displacement-time graph for the first 10 s of her jog.

The meaning of the area under a graph can be found by multiplying the units. For example, for the velocity-time graph above, \(m/s × s = \frac{metres}{seconds} × \frac{seconds}{1} = metres\).