Solve the all parts of given question:
Question: Consider a reference frame associated with a free falling cabin , which is moving with an acceleration of g = 9.8m/s^2. At time t =0 the cabin is at rest. An object in outer space (so that no forces act on it) is moving initially with a constant velocity relative to the cabin.
Part I: Will this object continue moving with a constant speed relative to the cabin?
Part II: Is this reference frame inertial?
It'd be really helpful if you could show all steps of your work.