To find the initial velocity of an object, the appropriate equations depend on the known variables. Key equations include V = Vi + at, s = ut + 0.5at^2, and v^2 = u^2 + 2as. There is no single equation for calculating initial velocity; instead, it requires working backward from final conditions if needed. The choice of equation is contingent upon the information available. Understanding the context of the problem is essential for determining the correct approach.