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/hvJA,y= mi/h(b) Find the components of the velocity of the air relative to Earth, AE.vAE,x= mi/hvAE,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 + 2vJEvJA = vAE − vJE vJA = vJE − vAEvJA = vJE + vAE(d) What are the speed and direction of the aircraft relative to the ground?magnitude mi/hdirection ° north of east

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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.

v_JA,x	=	mi/h
v_JA,y	=	mi/h

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

v_AE,x	=	mi/h
v_AE,y	=	mi/h

v_AB = v_AE − v_BE

for the velocities

v_JA,

v_AE,

and

v_JE

. (In the given equation,

v_BE

is the velocity of observer B relative to observer E. Object A travels with velocity

v_AB

relative to observer B, and velocity

v_AE

relative to observer E.)

v_JA

v_JA = v_AE + 2v_JE

v_JA = v_AE − v_JE

v_JA = v_JE − v_AE

v_JA = v_JE + v_AE

(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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