# Homogeneity of Equation?

Can you please prove that this equation is HomoGenous(Units on the left should be equal to units on the right).

Update:

Equation : s=ut+1/2at2

### 3 Answers

Relevance

- NCSLv 74 years agoFavorite Answer
LHS: s, distance, has units of length L.

RHS: ut = velocity*time has units of (L/T)(T) = L,

and ½at² = ½ * acceleration * time² has units of (L/T²)(T²) = L.

Therefore the equation is homogeneous.

If you find this helpful, please award Best Answer!

- VamanLv 74 years ago
Homogeneity and isotropy are wrt space co-ordinates. In your case you have time. Therefore, the equation is neither homogeneous or isotropic.

Still have questions? Get your answers by asking now.

Done :)