An airplane maintains a speed of 669 km/h relative to the air it is flying through as it makes a trip to a city 815 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 31.8 km/h toward the south? (b) What time interval is required if there is a tailwind with the same speed? (c) What time interval is required if there is a crosswind blowing at 31.8 km/h to the east relative to the ground?

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An airplane maintains a speed of 669 km/h relative to the air it is flying through as it makes a trip to a city 815 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 31.8 km/h toward the south?

(b) What time interval is required if there is a tailwind with the same speed?

(c) What time interval is required if there is a crosswind blowing at 31.8 km/h to the east relative to the ground?

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