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A jet airliner moving initially at 2.55 Times 102 mi/h due east enters a region

ID: 2136204 • Letter: A

Question

A jet airliner moving initially at 2.55 Times 102 mi/h due east enters a region where the wind is blowing at 1.00 Times 102 mi/h in a direction 24.0 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, v JA. Find the components of the velocity of the air relative to Earth, vAE. Write an equation analogous to v AB = vAE ? vBE for the velocities vJA, vAE, and vJE. (Use the following as necessary: 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.)

Explanation / Answer

Break the wind down into components (north and east) and add the wind speed to the airliner's speed.

300 + 85cos(35.5

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