A helicopter is flying south with a speed of 50kmh−1. A train is moving with the same speed towards east. The relative velocity of the helicopter as seen by the passengers in the train will be 50√2kmh−1 towards
A
northwest
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B
southwest
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C
northeast
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D
southeast
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Solution
The correct option is C southwest VHelicopter,Train=VHelicopter−VTrain=−50^k−50^i (Assume north as +^k and east as +^i) Thus, direction is given as tan−1(−50−50), thus it is 45o with vertical in 3rd quadrant (x and y both negative), thus direction is Southwest.