turbof1 wrote:a ball lying around has no kinetic energy
In the inertial frame of the thrower, that is true. But in the inertial frame of the solar system it has a huge amount of kinetic energy due to its velocity along the earth's orbital path.
If the physical problem you're solving is throwing the ball, then the inertial frame of the thrower is an important and relevant frame to be interested in. But if you were to carry the ball to the top of a space elevator and throw it at some passing space body on a different orbit, the energy it has in the thrower's inertial frame both before and after the throw will be negligible to the problem, while the energy in the solar system's inertial frame is crucial.
turbof1 wrote:F1 starts from the assumption air holds no energy; cars are being optimised to run in such air, with compromises wherever possible to not be too much disadvantage when you have to deal with wind.
While you
can think of it in these terms, it's unnecessary to think about wind as a separate problem to deal with. If you think about the car from its own inertial frame (like Mike Elliot and his colleagues clearly do) you will find that different stages of the lap subject the car to airflow with different levels of energy. Consider any one stage of the lap with a component of wind present and the energy the car sees simply varies by a small percentage, but generally only a fraction of the range that the car has to deal with in still air. The wind may make the car generate more or less downforce and drag, but the car is probably already designed to generate the maximum downforce for minimum drag that it can at that level of onset energy, so the problem doesn't necessarily need any specific design to avoid a competitive disadvantage.
Of course the nonuniformity of the wind component introduces issues that still air doesn't, but that's not fundamentally related to the amount of energy involved.