[Caleb Sykes]

Wow, I didn't think that someone was going to work through the entire thing themselves. Thank you John. I was hoping someone might give me a helpful formula to start out with, but you just went and did the entire thing using Newton's 2nd. Kudos to you. I tried a similar approach but thought that there must be a simpler way to do it so I quit. I'm going to retry that approach now. I will post again with context and more thoughts after.

By the way, I had never even heard of the Rankine temperature scale until right now.