A body of mass m is suspended from a spring fixed to the ceiling of an elevator car. The stiffness of the spring is ×. At the moment t = 0 the car starts going up with an acceleration w. Neglecting the mass of the spring, find the law of motion y (t) of the body relative to the elevator car if y (0) = 0 and y (0) = 0. Consider the following two cases:
(a) w = const;
(b) w = at, where a is a constant.