Here's how we break it down:

* L: Represents length (meter, m)

* T: Represents time (second, s)

Explanation:

Acceleration is defined as the rate of change of velocity with respect to time. Velocity is the rate of change of displacement with respect to time.

* Velocity: [LT⁻¹] (Displacement/Time)

* Acceleration: [LT⁻¹]/[T] = [LT⁻²] (Velocity/Time)

Therefore, the dimensional formula of acceleration due to gravity, which is a type of acceleration, is [LT⁻²].