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 ...

Here is what I get. Since the acceleration is defined as the change in velocity divided by the change in time, the slope of a velocity-time graph will be the acceleration of the car.

When displaying a journey, the vertical axis will often represent the distance from a particular place rather than the distance travelled. Such graphs are known as displacement-time graphs.

Kinematical Graphs The ‘displacement-time’ and the ‘velocity-time’ graphs of a particle are often used to provide us with avisual representation of the motion of a particle.