Option A is correct option.

Given equation is a homogenous equation because all of its terms can be expressed in terms of the same unit (in this case, units of velocity squared, acceleration, and displacement).

It is not non-homogeneous, as that would indicate terms with differing units. The term analogous does not apply here, as it suggests a relationship to a different situation rather than describing motion under uniform acceleration. Lastly, while the equation contains variables, it is not simply a variable equation, it defines a specific relationship among those variables under constant conditions, rather than allowing them to change independently.