When analysing a graph, it’s important for us to know what’s the physical quantity that’s represented by the gradient of the graph and the area below the graph.
For example, in a displacement-time graph, the gradient represent the velocity of the moving object, whereas in a velocity-time graph, the gradient represent the acceleration of the moving object.
It’s also important for you to know how to find the gradient of a straight line from a graph.
Sometime, you will be asked to convert a displacement-time graph to a velocity-time graph or convert a velocity-time graph to an acceleration-time graph.