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Well if our rocket eventually hits the ground and stops then all the KE gets turned back into heat. But if orbit is achieved then KE is preserved and less rocket motor energy gets converted to heat right? It has to be...Yes.
Well, I think so
Certainly true for the exhaust, but we also need to consider the heating the vehicle itself provides to the atmosphere, but that will be influenced by things like the cd and air density independently of exhaust interactions.
TP