How fast must a plane fly along the earth’s equator so

Chapter 17, Problem 40GP

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QUESTION:

How fast must a plane fly along the earth’s equator so that the sun stands still relative to the passengers? In which direction must the plane fly, east to west or west to east? Give your answer in both km/h and mph. The radius of the earth is 6400 km.

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QUESTION:

How fast must a plane fly along the earth’s equator so that the sun stands still relative to the passengers? In which direction must the plane fly, east to west or west to east? Give your answer in both km/h and mph. The radius of the earth is 6400 km.

ANSWER:

Solution Step 1 of 6 In order to see the sun as static on the equator of the earth in a plane. The plane must have the speed same as that of the earth. Which means the plane should also complete one full revolution around the earth in the same time as earth completes one rotation about its axis of rotation; one complete revolution or rotation in 24 hours.

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