# Dimensions of Acceleration

## Dimensional Formula of Acceleration

The dimensional formula of acceleration is given by,

MLT-2

Where,

• M = Mass
• L = Length
• T = Time

### Derivation

Acceleration (a) = Velocity × Time-1 . . . . . (1)

Since, Velocity (V) = Displacement × Time-1

∴ The dimensional formula of velocity is [M0 L1 T-1] . . . . (2)

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

Acceleration = Velocity × Time-1

Or, a = [M0 L1 T-1] × [T] = [M0 L1 T-2]

Therefore, acceleration is dimensionally represented as [M0 L1 T-2].