Let's start with an example. Suppose a car travels only ... But what if I represent this as a graph? Here is a velocity vs time graph for this same situation. As you can see from this plot ...

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

The area under a velocity-time graph will give the distance travelled ... by taking more measurements and finding the mean. For example, measuring the time period of a pendulum will produce ...