An airplane maintains a speed of 579 km/h relative to the air it is flying through as it makes a trip to a city 766 km away to the north. (Assume north is the positive y-direction and east is the positive x-direction.) (a) What time interval is required for the trip if the plane flies through a headwind blowing at 38.4 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? h (c) What time interval is required if there is a crosswind blowing at 38.4 km/h to the east relative to the ground? h