How do you integrate with a computer? Let's start with an example. Suppose a car travels only in the x-direction. It starts at x = 0 m with a velocity of 0 m/s. If the car has a constant acceleration ...

When a relationship between two variables is defined by a curve it means that the gradient, or rate of change is always varying. An average speed for a journey can be found from a distance-time graph ...

The area under a curve can be estimated by dividing it into triangles, rectangles and trapeziums. If we have a speed-time or velocity-time graph, the distance travelled can be estimated by finding the ...