A jet airliner moving initially at 2.55 x 10^2 mi/h due east enters a region whe

Question

A jet airliner moving initially at 2.55 x 10^2 mi/h due east enters a region where the wind is blowing at 1.00 x 10^2 mi/h in a direction 29.0° north of east.

(a) Find the components of the velocity of the jet airliner relative to the air

(b) Find the components of the velocity of the air relative to Earth

(c) Write an equation analogous to V(arrowbold)AB = V(arrowbold)AE - V(arrowbold)BE for the velocities V(arrowbold)JA, V(arrowbold)AE, and V(arrowbold)JE. (Use the following as necessary: V(arrowbold)AE and V(arrowbold)JE. In the given equation, V(arrowbold)BE is the velocity of observer B relative to observer E. Object A travels with velocity V(arrowbold)AB relative to observer B, and velocity V(arrowbold)AE relative to observer E.)

(d) What are the speed and direction of the aircraft relative to the ground?

CAN SOMEONE PLEASE SHOW ME HOW TO DO THIS STEP BY STEP SO I CAN UNDERSTAND HOW TO FIGURE THIS OUT. THANK YOU

Explanation / Answer

The east component is 255 mi/h + 100 mi/h*cos(29.0) = 342.46 mi/h
The north component is 85mph*sin(29.0) = 48.48 mi/h

So we have V = sqrt(342.46^2 + 48.48^2) = 345.87 mi/h

the direction, = arctan(48.48/342.46)

                          = 8.0o north of east

please post each question separately.

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