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4 Feb 2012 13:58:55 IST
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 an airplane has a speed of 600km/hr with respect to air. it has to fly a distance of 800km northward.in what direction should it fly if a steady wind is blowing at a speed of 120km/hr from the west?what will be its speed with respect to the ground be?draw the relative diagram of calculations.


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Arjun Virmani's Avatar

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Joined: 1 Jun 2009
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4 Feb 2012 16:10:03 IST
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Note : All the BOLD letters are vectors.

As we have to go north, we'd like to apply all our strength towards N.

i is a unit vector towards E (from W) and j is  unit vector towards N.

Let speed of plane w.r.t. ground be u

Speed of wind ( say w) = 120 i.

Speed of Plane w.r.t. air (say s) =  w   =  600 j.

Then,  u = s + w

u = 600 j + 120 i.............!!!!!

ans!!!

 




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