# Dimensions of Speed

## Dimensional Formula of Speed

The dimensional formula of speed is given by,

[M0 L1 T-1]

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Speed (S) = Distance × [Time]-1 . . . . (1)

The dimensional formula of distance = [M0 L1 T0] . . . . (2)

And, the dimensions of time = [M0 L0 T1] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Speed = Distance × [Time]-1

Or, S = [M0 L1 T0] × [M0 L0 T1]-1 = [M0 L1 T-1]

Therefore, speed is dimensionally represented as [M0 L1 T-1].