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Question

The compass needle of the airplane shows that it is heading due North and speedometer indicates a velocity 240kmh1. Wind is blowing 100kmh1 due east. Find the velocity of airplane with respect to earth.

A
260ms1,23 East of North
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B
260ms1,23 West of North
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C
260ms1,32 East of North
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D
none of these
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Solution

The correct option is D 260ms1,23 East of North
Net velocity of aeroplane v=240^i+100^j
v=|v|=2402+1002
θ=tan1100240=23o

206080_133793_ans.png

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