A jet airliner moving initially at 3.10 multiply. gif 102 mi/h due east enters a region where the wind is blowing at 1.00 multiply. gif 102 mi/h in a direction 24.5° 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, v with arrowJA.

vJA, x = mi/h
vJA, y = mi/h
(b) Find the components of the velocity of the air relative to Earth, v with arrowAE.

(a). The components of the velocity of the jet airliner relative to the air is

(b). The components of the velocity of the air relative to earth is

Explanation:

Given that,

Initial speed of jet

Speed of wind = 1.00\times10^{2}\ mi/h[/tex]

Angle = 24.5°

(a). We need to calculate the components of the velocity of the jet airliner relative to the air,

Using formula of velocity

The components of the velocity

(b).  We need to calculate the components of the velocity of the air relative to earth,

Using formula of the components of the velocity

For x-axis,

Put the value into the formula

For y axis,

Hence, (a). The components of the velocity of the jet airliner relative to the air is

(b). The components of the velocity of the air relative to earth is

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explanation: