Many teams that put 3 motors on a drivetrain gearbox want to know the acceleration characteristics when full voltage is applied to all 3 motors. Finding the single-motor "equivalent" motor curve permits the use of existing spreadsheets and models that don't support multiple mixed-motors on the gearbox.
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I may be missing something, but I have not seen any proof that these equations continue to hold, and I like to see proofs
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Go through the attachment to post#1 step-by-step and tell me at what step you disagree or are unconvinced, and I will explain the justification and make explicit any tacit assumptions.