I'm not sure this is in the correct area of the forum, so if not then please inform and I'll repost there.

As you can tell i'm not really a Maths person, so any help gratefully received.

I have attempted to model the curve of the relationship between v1 and v2, please see attached.

The bold cells refer to the inputs of the model.

We know that the optimal relationship between v2 and vavg is 1.05, as well as the values for d and t. We also know that v2 decays exponentially from a absolute maximum value of 21.496 as v1 increases.

So you will see that in order for the curve of v2 to start at 21.496 and decay to the point where v2/v1=1.0625, I have used what I have called an "acceleration factor", which starts at v1=1 at a value of 1.0000000001 and exponentially increases the prior integer value of v1 by ^ acceleration factor.

So, I am wondering how I can improve this to more acutely describe the relationship?

I appreciate that I probably haven't described my goals or some of the constraints very well so please ask me if anything isn't clear.

Thanks for any help!

v1v2 model.xls