Save guides, add subjects and pick up where you left off with your BBC account. The gradient of a velocity-time graph at a particular time gives the acceleration of the object at that time.

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.

Let's start with an example ... be equivalent to the area under the velocity-time graph. OK, so what if the velocity is changing? What about the case of a constant acceleration?