Q.

An airplane pilot wants to fly from city A to city B which is 1000 km due north of city A. The speed of the plane in still air is 500 km/hr. The pilot neglects the effect of the wind and directs his plane due north and 2 hours later find himself 300km due north-east of city B. The wind velocity is

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a

150km/hr at 45°N of E

b

106km/hr at 45°N of E

c

150 km/hr at 45°N of W

d

106 km/hr at 45°N of W

answer is A.

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Detailed Solution

3001000=vω500vω=150kmhr−145ºN of East
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An airplane pilot wants to fly from city A to city B which is 1000 km due north of city A. The speed of the plane in still air is 500 km/hr. The pilot neglects the effect of the wind and directs his plane due north and 2 hours later find himself 300km due north-east of city B. The wind velocity is