As a result, the formula is an abstraction apart from the motion of the mass. A similar contradiction in logic shows up in the force-distance form of the analysis. Supposedly, kinetic energy is proportional to force times distance for an accelerating mass. However, the force does not move through any distance relative to the mass it acts upon. Distance relates to the starting point, which the force does not act upon.
Contradictions appear throughout energy applications due to the error.
Rockets show the most obvious evidence, because they transform energy without mechanical motion machinery. But there is also evidence in mechanical engines, which produce abnormal rates of energy addition, called power. Collision analysis shows abnormal transfers of energy, which creates a confusing basis for thermodynamics. Technology is primarily developed through trial and error engineering, because the science of physics is extremely suppressed by the misdefinition of energy. What virologists have been doing for the past thirty years or more is removing viruses from nature, with the most virulent and cancer causing ones being of most interest, altering them, putting them back into the wild, removing them again, altering them again, ad infinitum.