A jet is flying in a direction N 50 degree E with a speed of 500 mi/h. Find the

Question

A jet is flying in a direction N 50 degree E with a speed of 500 mi/h. Find the north and east components of the velocity north ______ mi/h east _____ mi/h A plot heads his jet due east. The jet has a speed of 400 mi/h relative to the air. The wind is blowing due north with a speed of 30 mi/h. (Assume that the i vector points east, and the j vector points north.) Express the velocity of the wind as a vector in component form. _____ Express the velocity of the jet relative to the air as a component form. _______ Find the true velocity of the jet as a vector. ______ Find the true speed of the jet. (Round your answer to the nearest integer) ______ mi/h Find the direction of the jet. N ___________ degree E

Explanation / Answer

a)velocity of wind ,vwg=30 j

b)velocity of jet with respect to air ,vjw=400i

c)true velocity of jet =vjg

vjg=vjw+vwg

vjg=(400i)+(30 j)

vjg=(400i)+(30 j)

vjg=(400i)+(30 j)

d)true speed of jet=|vjg|

true speed of jet=[(400)2+(30)2]

true speed of jet=401 mi/hr

direction = N(90o-tan-1(30/401))E

direction = N85.7oE

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