I'm trying to work out how hard I should push myself when riding up or down a hill. Similarly, how hard should I push myself when riding into, or away from, or perpendicular to wind?
My aim is to arrive at a location in the shortest amount of time possible. I would assume that if I output more power going up a hill, then I would have to compensate by outputting less power going down the other side (let me know if you disagree). So, what is the most efficient way to achieve this aim? Is it better to work harder (and save time) up hills, or work harder (and save time) down hills. Similarly, how does wind affect this, both on the flat and concurrently? For the purposes of this question, assume I am riding by myself and hence ignore slipstreaming
Extra points for justification of your answer with links and/or physics. (N.B. there are no extra points.)