williesims, you're making it way too hard. Taking off with a tailwind simply means that the first part of the take-off run the plane accelerates to zero airspeed. Thereafter the take-off is normal and the plane handles like normal and will take-off at the same airspeed it usually does. The distance will, of course, be longer as will the time taken, but that wasn't asked.

Where I fly the pit area is at one end of the field, take-offs are almost always from that end 'cos no-one wants to taxi all the way to the other end and take off towards the pits. No one cares about wind direction or speed, goose it and go! No problem. Landings the same, touchdown at the pit end and roll out, taxi back.

Full scale sometimes do take-off with a small tailwind, as long as the required accelerate / stop distance is available, no pproblems.

Cheers from the Barfly.