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Aaron is flying a helicopter with an air-relative velocity of 12.5 m/s to the West. A constant wind is also blowing the helicopter towards the South at 4.55 m/s relative to the ground. What is the velocity vector of the helicopter relative to the ground? What is the speed and direction relative to the East? How long does it take to travel 1 km?

User Cheroky
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1 Answer

2 votes

Answer:

Step-by-step explanation:

Given

Velocity of helicopter relative to air 12.5 m/s to west

In vector form


V_(ha)=-12.5\hat{i}

where
V_h= velocity of helicopter relative to ground

Also the velocity of air


V_a=4.55\hat{j}


V_(ha)=V_h-V_a


V_h=V_(ha)+V_a


V_h=-12.5\hat{i}+4.55\hat{j}

Speed relative to east
=√(12.5^2+4.55^2)

=13.302

For Direction


tan\theta =(4.55)/(-12.5)


180-\theta =20


\theta =160^(\circ) relative to east

For 1 km travel it takes


t=(1000)/(13.302)=75.17 s

User Spacemonkeys
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