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Solve the all parts of given question:

Question: You are on an airplane traveling 30° south of due west at 140 m/s with respect to the air. The air is moving with a speed 32 m/s with respect to the ground 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 west will the plane travel in 1 hour?

Please show all work and explain your methods for above question.

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