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Q.

Ship A is travelling with a velocity of 5 kmh-1 due east. A second ship is heading 30° 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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a

10 kmh-1

b

9 kmh-1

c

8 kmh-1

d

7 kmh-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. v2 cos 60°=v1 ⇒v2 = 10 kmh-1

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Ship A is travelling with a velocity of 5 kmh-1 due east. A second ship is heading 30° 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?