[L T⁻²]
Where:
* L represents length (or distance)
* T represents time
This means that acceleration is measured in units of length per unit time squared.
Common units of acceleration:
* Meters per second squared (m/s²)
* Feet per second squared (ft/s²)
* Centimeters per second squared (cm/s²)
* Kilometers per hour squared (km/h²)
Derivation of the dimensions:
Acceleration is defined as the rate of change of velocity with respect to time. Velocity has dimensions of [L T⁻¹] (length per unit time). Therefore, acceleration, which is the change in velocity over time, has dimensions of:
[L T⁻¹] / [T] = [L T⁻²]