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A fast duck is flying (20i+40j)mi/h at the same altitude as a slow aeroplane flying with a velocity of (-80i+40j)mi/h.How fast and in what direction is the duck moving relative to the airplane.

A fast duck is flying (20i+40j)mi/h at the same altitude as a slow aeroplane flying with a velocity of (-80i+40j)mi/h.How fast and in what direction is the duck moving relative to the airplane.

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1 Answers

vikas askiitian expert
509 Points
10 years ago

velocity of duck = Vd = 20i + 40j

velocity of aeroplane Va = -80i + 40j

velocity of duck wrt plane = Vad = Vd - Va = 100 i             ans            

 cos@ = a.b/(ab)                               (@ is angle with duck is moving wrt plane) (a.b = dot product )

         = -2/root5

@ = cos-1(-2/root5)                        ans

 

approve if u like my ans

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