A pilot wants to fly a huge square path. Each leg of the desired path is as list

Question

A pilot wants to fly a huge square path. Each leg of the desired path is as listed: Trip A: 100 km north Trip B: 100 km west Trip C: 100 km south Trip D: 100 km east If there is a 50 km/hr wind blowing due south and her plane is capable of an air speed of 100 km/hr, what should the heading be for each leg of her trip and what will be the resulting velocity with respect to the ground?
A pilot wants to fly a huge square path. Each leg of the desired path is as listed: Trip A: 100 km north Trip B: 100 km west Trip C: 100 km south Trip D: 100 km east If there is a 50 km/hr wind blowing due south and her plane is capable of an air speed of 100 km/hr, what should the heading be for each leg of her trip and what will be the resulting velocity with respect to the ground?

Explanation / Answer

Given VwG = 50 km/hr is the velocity of wind with respect of ground Vpw = 100 km/hr is the velocity of plane with respect to wind The velocity of plane with respect to ground is VpG = Vpw + VwG Magnitude of VpG = v(100)^2+(50)^2 =111.8 km/hr    

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