Ship A is travelling with a velocity of 5 km h-1 due east. A second ship is heading 30o east of north. What should be the speed of second ship if it is to remain always due north with respect to the first ship?

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Ship A is travelling with a velocity of 5 km h^-1 due east. A second ship is heading 30^o east of north. What should be the speed of second ship if it is to remain always due north with respect to the first ship?

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9 km h^-1

7 km h^-1

10 km h^-1

8 km h^-1

answer is A.

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Detailed Solution

For B always to be north of A, the velocity components of both along east should be same.

$\begin{array}{l} v_{2} \cos 60^{\circ} = v_{1} \\ \Rightarrow v_{2} = 10 {kmh}^{- 1} \end{array}$

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