I keep getting the wrong answers not sure if I am doing it correctly. I keep get

Question

I keep getting the wrong answers not sure if I am doing it correctly.

I keep getting the wrong answers not sure if I am doing it correctly. A jet airliner moving initially at 2.95 102 mi/h due east enters a region where the wind is blowing at 1.00 102 mi/h in a direction 24.0 degree 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, Find the components of the velocity of the air relative to Earth, Write an equation analogous to for the velocities (Use the following as necessary: In the given equation, is the velocity of observer B relative to observer E. Object A travels with velocity relative to observer B, and velocity relative to observer E.)

Explanation / Answer

a) Velocity of jet liner = 295 i

velocity of air = 100 cos (24) i + 100sin(24) j = 91.3545 i + 40.6736 j

velocity of the jet airliner relative to the air, = Vj - Va = Vja = 295 i - ( 91.3545 i + 40.6736 j )= 203.6455 i - 40.6736 j

Vjax = 203.6455 m/h

Vjay = -40.6736 m/h

b) velocity of air relative to earth = Vae = 91.3545 i + 40.6736 j

Vaex = 91.3545 m/h

Vaey = 40.6736 m/h

c) Vja = Vje - Vae

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