Calculating Average Velocity from Acceleration?

[SonnyBoy]

Homework Statement

This is a real world application I'm attempting to solve, but I'm unsure how to get started.

I have three contiguous segments of equal length and I know the average velocity for the first two segments. Assuming constant (but unknown) acceleration, how can I calculate the average velocity of the third segment?

Homework Equations

None?

The Attempt at a Solution

I've plugged a bunch of numbers into a spreadsheet, but I only have a basic understanding of differential calculus (and even less of an understanding of integral calculus), so I'm not getting too far. :(

 

[SonnyBoy]

OK... so I think I have this so far...

acceleration = (v2 - v1) / distance
v3 = v2 + acceleration?