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Question

A particle (A) moves due north at 3 km/h, another particle (B) due west at 4 km/h. The relative velocity of A with respect to B is (tan 37=3/4)

A
5 km/h,37north of east
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B
5 km/h,37 east of north
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C
5 2 km/h,53 east of north
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D
5 2 km/h,53 north of east
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Solution

The correct option is A 5 km/h,37north of east
VAB=VAVB

VAB=V2A+V2B=5 km/h
α=tan1(VAVB)
=tan1(34)=37.

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