A jet airliner moving initially at 2.60 102 mi/h due east enters a region where

Question

A jet airliner moving initially at 2.60 102 mi/h due east enters a region where the wind is blowing at 1.00 102 mi/h in a direction 28.0 degree north of east. (Let the x-direction be eastward and the y-direction be northward.) Find the components of the velocity of the jet airliner relative to the air, JA. vJA,x = mi/h vJA,y = mi/h Find the components of the velocity of the air relative to Earth, AE. vAE,x = mi/h vAE,y = mi/h What are the speed and direction of the aircraft relative to the ground? magnitude mi/h direction 28.0 degree north of east

Explanation / Answer

Vj = 260 i

Va =88.29 i + 46.95 j


a)
velocity of the jet airliner relative to the air, = 171.71 i - 46.95 j

vJA,x = 171.71
vJA,y = - 46.95

b)

components of the velocity of the air relative to Earth

vAE,x = 88.29 i
vAE,y =46.95 j



c)

348.29 i + 46.95 j

magnitude = 351.44

direction = 7.677 degrees with + xaxis in anticlockwise   

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