## Calculus Notation

The correct way to analyse motion in detail to to use a branch of maths called calculus. Calculus deals with the rate of change of one quantity with respect to another. Typically in physics we want to find the rate of change of a quantity with respect to time, often called merely, 'the rate of change' the that quantity. For example, the rate of change of distance is speed. Some examples of rates of change of quantities are shown in the table.

 Symbol Pronounced Meaning Example Delta The change in A movement ofmeans Delta The small change in A movement ofmeans Deltaover delta The average rate of change ofover the time period fromto Average speed Deltaover delta The average rate of change ofover the small time period fromto Average speed Dee over dee The instantaneous speed at a time The speed