Solve the all parts of given problem:
Problem: An object of mass m is dropped at time t = 0 from the roof of a building of height h. While the object is falling, a wind blowing parallel to the face of the building exerts a constant horizontal force F on the object.
Part A: At what time t does the object strike the ground? Express t in terms of g and h.
Part B: How far is the object displaced horizontally before hitting the ground? Express your answer in terms of m, g, F, and h.
Part C: What is the magnitude of the objects acceleration while it is falling, in terms of F, m, and g?
Please show solution step by step with details.