Final answer:
The question relates to a proof but lacks enough detail to provide an answer. The provided references suggest a mixture of physical concepts which are not directly related to a clear mathematical proof.
Step-by-step explanation:
The student's question appears to involve proving a geometric or algebraic relationship, but the details provided are insufficient to understand the context or the specifics of what needs to be proven.
The references provided seem to relate to physics concepts, such as the law of universal gravitation, changes in potential energy, and possibly rocket propulsion mathematics.
Without a clear question, it is not possible to provide a step-by-step explanation or a proof. To assist further, additional information about the original mathematical statement or proof is necessary.