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(a) Another airplane is flying in a jet stream that is

Chapter 3, Problem 60

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QUESTION:

Problem 60PE

(a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20º south of east (as in Exercise 3.58). Its direction of motion relative to the Earth is 45.0º south of west, while its direction of travel relative to the air is 5.00º south of west. What is the airplane’s speed relative to the air mass? (b) What is the airplane’s speed relative to the Earth?

Exercise 3.58:

(a) A jet airplane flying from Darwin, Australia, has an air speed of 260 m/s in a direction 5.0º south of west. It is in the jet stream, which is blowing at 35.0 m/s in a direction 15º south of east. What is the velocity of the airplane relative to the Earth? (b) Discuss whether your answers are consistent with your expectations for the effect of the wind on the plane’s path.

Questions & Answers

QUESTION:

Problem 60PE

(a) Another airplane is flying in a jet stream that is blowing at 45.0 m/s in a direction 20º south of east (as in Exercise 3.58). Its direction of motion relative to the Earth is 45.0º south of west, while its direction of travel relative to the air is 5.00º south of west. What is the airplane’s speed relative to the air mass? (b) What is the airplane’s speed relative to the Earth?

Exercise 3.58:

(a) A jet airplane flying from Darwin, Australia, has an air speed of 260 m/s in a direction 5.0º south of west. It is in the jet stream, which is blowing at 35.0 m/s in a direction 15º south of east. What is the velocity of the airplane relative to the Earth? (b) Discuss whether your answers are consistent with your expectations for the effect of the wind on the plane’s path.

ANSWER:

Problem 60PE

Solution 60 PE

Step 1  of 3:

In this question, we need to find we have aeroplane flying is jet stream, we are to find the airplane’s relative speed to the air mass

In the second part , we need to find airplane’s speed relative to Earth

Data given

Velocity of air with respect to Earth  

Angle of air with respect to Earth

Angle of plane with respect to Earth

Angle of plane with respect to air

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