The dimensional formula of a physical quantity represents how it is derived from fundamental dimensions such as length, mass, time, etc. The average speed is defined as the total distance traveled divided by the total time taken. Mathematically, it can be expressed as:
Average speed = Total distance / Total time
Let's assign the following dimensions to the fundamental quantities:
The dimensional formula for average speed can be obtained by substituting the dimensions into the equation:
Average speed = [L] / [T]
Therefore, the dimensional formula of average speed is [L][T]⁻¹, which means it has dimensions of length per unit time (e.g., meters per second, kilometers per hour, etc.).