You need to deliver a package of mass M from your current location (x = 0) to a room at the end of the hall (x = D). You have an amount of time T in which to do it. Neglecting resistive forces, what is the minimum amount of energy required to accomplish this task? NOTE: You expend energy to speed up, but you don't get it back when you slow down. This may be very simple, but I want to see if you guys get the same thing as me. Let us also make the following constraints explicit: x(0) = 0, x(T) = X, v(0) = 0, v(T) = 0. Account only for the energy used in moving the package, not yourself.