# What is the dimension of (½)at2?

½ a t2 has the dimension of length since the dimension of acceleration is L/T2 and multiplying it by T2 leaves us with the dimension of length.

## Dimensions of Acceleration

The dimensional formula of acceleration is given by MLT-2

Where,

• M = Mass
• L = Length
• T = Time

## Dimensions of Time Period

The dimensional formula of Time Period is given by [M0 L0 T1]

Where,

• M = Mass
• L = Length
• T = Time

½ a t

⇒ 1/2 [MLT-2] [M0 L0 T1] [M0 L0 T1]

⇒  $$\frac{1}{2}\times \frac{L^{1}}{T^{2}}\times ^{T^{2}}$$

⇒ 1/2 [L]