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How fast must a plane fly along the earth's equator so that the angle the passengers see the sun at in the sky is constant? Give your answer in both km/hr and mph. Also which direction must the plane fly, east to west or west to east?

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Added Thu, 07 Jan '16
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you want the speed of the earth's equator, or a point on it, referenced to the sun, so if you travel at that speed in the opposite direction, the sun will not move.

the diameter of the earth around the equator is 40,075.017 km

and the earth rotates once every 24 hours.

dividing, we get 1670 km/hour, which is 1038 MPH

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Added Thu, 07 Jan '16
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