how does acceleration varies with altitude
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Gravity changes with altitude. The gravitational force is proportional to 1/R2, where R is your distance from the center of the Earth. Here is an example: The radius of the Earth at the equator is 6400 kilometers. Let's say you were in a jet at the equator that was 40 kilometers high above the earth's surface.
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The strength of Earth’s gravitational field gets weaker as you move farther away from the Earth’s center. Near the surface, it is 9.8 m/s/s but that only works as a good approximation from about the depth of a mine to height at which airplanes fly. Outside of that, the value would increase or decrease to the point where that number would no longer be useful. You can determine the strength of the field at any distance using Newton’s law of gravitation.
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