A jet airliner moving initially at 3.35  102 mi/h due east enters a region where the wind is blowing at 1.00  102 mi/h in a direction 35.5° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, JA. vJA,x =  mi/h vJA,y =  mi/h (b) Find the components of the velocity of the air relative to Earth, AE. vAE,x =  mi/h vAE,y =  mi/h (c) Write an equation analogous to  vAB = vAE − vBE  for the velocities  vJA,   vAE,  and  vJE . (In the given equation,  vBE  is the velocity of observer B relative to observer E. Object A travels with velocity  vAB  relative to observer B, and velocity  vAE  relative to observer E.) vJA = vJA = vAE + 2vJE vJA = vAE − vJE       vJA = vJE − vAE vJA = vJE + vAE (d) What are the speed and direction of the aircraft relative to the ground? magnitude      mi/h direction      ° north of east

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Chapter1: Units, Trigonometry. And Vectors
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A jet airliner moving initially at 3.35  102 mi/h due east enters a region where the wind is blowing at 1.00  102 mi/h in a direction 35.5° north of east. (Let the x-direction be eastward and the y-direction be northward.)

(a) Find the components of the velocity of the jet airliner relative to the air, JA.
vJA,x =  mi/h
vJA,y =  mi/h

(b) Find the components of the velocity of the air relative to Earth, AE.
vAE,x =  mi/h
vAE,y =  mi/h

(c) Write an equation analogous to 
vAB = vAE − vBE
 for the velocities 
vJA,
 
vAE,
 and 
vJE
. (In the given equation, 
vBE
 is the velocity of observer B relative to observer E. Object A travels with velocity 
vAB
 relative to observer B, and velocity 
vAE
 relative to observer E.)
vJA
=
vJA = vAE + 2vJE
vJA = vAE − vJE
     
vJA = vJE − vAE
vJA = vJE + vAE

(d) What are the speed and direction of the aircraft relative to the ground?
magnitude      mi/h
direction      ° north of east
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