Originally Posted by

**steve_bank**
A race is between two point's on a specified course. If you watch the Indy 500 or NASCAR races two cars do not necessarily take the exact same path around the track. Two cars can have the same average speed but with different elapsed times.

The question is simplified, if two velocity functions v1(t) and v2((t) can have the same average velocity but different elapsed times on a straight line course between two points p1 and p2. Like a drag race.

Mathematically the path does not matter. The point by point velocity curve v(t) is integrated to get distance and time. Straight line path, circle, parabola. All the same.

I can't answer that off the top of my head. I could try different functions which would be easy, but It would take the form of a proof to be sure.

If you are flying towards a destination that is coming at you, that is different than flying towards a destination that is going away from you. I would think (all else being equal) that you get to a destination coming at you quicker than a destination going away from you.

Thing is, with flights, we generally aren’t going exactly one way or the other, and that’s because we are usually neither going in the exact direction of Earth’s spin or it’s opposite.