Acceleration is the change in velocity with respect to time, which can be represented as dv/dt. The factor d/dt represents the rate of change of something.
Velocity is given by the formula
V = s/t
here, s is the displacement in meters and t is the time in seconds.
Hence, the dimensional formula of velocity can be represented as
To calculate acceleration, we will have to divide the change in velocity by a time interval. Hence,
a = v/t
Therefore, the dimensional formula can be represented as
LT–1/T = LT-2
The dimensional formula of acceleration is LT-2.