I'm not sure I should be asking this question in Maths, but I think it is a maths question and I don't care about the physics behind it. You are in some sort of simple space craft: It has a mass of 1kg To move, it has one rocket that produces a constant force of 10N in which ever direction you want. (this force does not stop) If you start from rest at position A(0m,0m) and want to get to C(10m,-7m) via B(9m,13m). Then how do you rotate your rockets (10N force) throughout your journey to complete your journey in the fastest time possible? There is no gravity and no air resistance. Is this question do-able? Or is it very difficult? How would I even start?