The result is the similar if one was to calculate such trajectories, but I am not sure what happens in the mind can be called calculation. How can it be properly tested that brain indeed calculates trajectories when catching a ball? Would practicing catching ball improve their relevant mathematical abilities demonstrable on paper?
What if the brain operated more like a neural network than a calculator? Your second point seems to raise another, separate issue, whether or not knowledge gained can be applied in an unrelated context, or even if these two calculations would be performed in the same ways by the brain, such that training in one yields greater efficiency in the other. I'd wager that practicing hand eye coordination would yield greater efficiency in other task related to processing visual input, maybe video games.
The result is the similar if one was to calculate such trajectories, but I am not sure what happens in the mind can be called calculation. How can it be properly tested that brain indeed calculates trajectories when catching a ball? Would practicing catching ball improve their relevant mathematical abilities demonstrable on paper?