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Q.

77. Figure shows two ships moving in xy-plane with velocities vA and vB. The ships move such B always remains north of A. The ratio vAvB is equal to

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a

cosθ

b

sinθ

c

secθ

d

cosecθ

answer is A.

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Detailed Solution

VBA=VB-VA=VBcosθi^+VBsinθj^-VAi^ =VBcosθ-VAi^+VBsinθj^Ship B always remains north of A if VBA is along north. Or its component along x-axis is zero.∴VBcosθ-VA=0  or VAVB=cosθ
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