Is it possible to have 24 - hour sunlight at the equator? If yes, what is the speed required to achieve this?

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Since the Earth is generally believed to rotate around the sun, and the Earth having its own axis of rotation (to rotate about itself), it should be possible for a person to start at a point, move in the opposite direction of Earth's spin, and manage to have 24 hours of daylight. What is the speed at which one needs to move to see this effect?

Vivekanand Vellanki

If one travels at the same angular speed of Earth, but in the opposite direction, one can remain in perpetual sunlight at the equator.

The same principle applies at any latitude on Earth - except that the angular speed at different latitudes would be different.