Compute all parts of given problem:
Problem: You are traveling on an airplane. The velocity of the plane with respect to the air is 110 m/s due east. The velocity of the air with respect to the ground is 39 m/s at an angle of 30° west of due north.
Part A: What is the speed of the plane with respect to the ground?
Part B: What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).
Part C: How far east will the plane travel in 1 hour?
Please give a full detailed explanation of above problem.