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

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