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

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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00...

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

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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