   Chapter 3, Problem 23P

Chapter
Section
Textbook Problem

A jet airliner moving initially at 3.00 × 102 mi/h due east enters a region where the wind is blowing 1.00 × 102 mi/h in a direction 30.0° north of east, (a) Find the components of the velocity of the jet airliner relative to the air, v → JA . (b) Find the components of the velocity of the air relative to Earth, v → AE . (c) Write an equation analogous to Equation 3.11 for the velocities v → J A , v → AE , and v → J E . (d) What are the speed and direction of the aircraft relative to the ground?

(a)

To determine
The components of the velocity of the jet relative to the air.

Explanation

Let the eastward direction be the positive x axis and the upward direction is vertically upward.

The jet moves at 3.00×102mi/h due east relative to the air.

So, the vertical component of the velocity is zero.

Conclusion:

Thus, the components of the velocity of the jet relative to the air are (

(b)

To determine
The components of the velocity of the air relative to Earth.

(c)

To determine
Write an equation for the velocities vJA,vAEandvJE .

(d)

To determine
The speed and the direction of the aircraft relative to the ground.

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