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Dude. The period between 0-8 and the period between 8-27 have different accelerations, of course they're gonna have different values.
Yes, that's perfectly right. So, let me just ask this. If you were to consider the bounds as 8s and 0s, instead of 27 and 8 (just hypothetically saying), what time's distance are you calculating? Can you tell me the answer to that?