Engineers conduct flight tests of a rocket at 30° north latitude. They measure the rocket’...

Engineers conduct flight tests of a rocket at 30° north latitude. They measure the rocket’s motion using an earth-fixed coordinate system with the x axis pointing upward and the y axis directed northward. At a particular instant, the mass of the rocket is 4000 kg, the velocity of the rocket relative to the engineers’ coordinate system is 2000i + 2000j (m/s), and the sum of the forces exerted on the rocket by its thrust, weight, and aerodynamic forces is 400i + 400j(N). Determine the rocket’s acceleration relative to the engineers’ coordinate system (a) assuming that their earth-fixed coordinate system is inertial and (b) not assuming that their earth-fixed coordinate system is inertial.