Answer :
In my opinion, the correct answer is option III. The equation, v^2 = ax, represents the equation that is dimensionally correct. This is because when we do dimensional analysis, both of the sides will have the same units.
v^2 = ax
m² / s² = (m/s²)(m)
m² / s²=m² / s²
v^2 = ax
m² / s² = (m/s²)(m)
m² / s²=m² / s²