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Q.

Ship A is travelling with a velocity of $5 {kmh}^{- 1}$ due east. The second ship is heading $30 °$ east of north. What should be the speed of second ship in km/h if it is to remain always due north with respect to the first ship?

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Detailed Solution

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For B always to be north of A, the velocity components of both along east should be same
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$v_{2} \cos 60 ° = v_{1} \Rightarrow v_{2} = 10 k m / h$

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