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Question

An airplane pilot sets a compass course due west and maintains an air speed of 240 km/h. After flying for 12h, he finds himself over a town that is 150 km west and 40 km south of his starting point. The wind velocity (with respect to ground).

A
100km/h,37oWofS
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B
100km/h,37oSofW
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C
120km/h,37oWofS
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D
120km/h,37oSofW
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Solution

The correct option is B 100km/h,37oWofS

d2=1502+402

=24100km2

d=155km

θ=tan1(40150)=150

Velocity & pilot w.r.t ground (¯¯¯¯¯v1)

1550.5=310kmh1

v2 velocity of eur,v3 velocity of wind w.r.t ground

¯¯¯¯¯v3=¯¯¯¯¯v1+¯¯¯¯¯v2=2¯¯¯¯¯v1.¯¯¯¯¯v2

=2402+31022×210×310×0.9659

¯¯¯¯¯v3=100km/hr


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