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The free fall acceleration of the earth is approximately related to the distance from the surface by the following formula.

g = GM/(R2 + h)

where G = universal gravitational constant, M = Mass of Earth, R = Radius of Earth, h = distance from the surface of the earth

g = 3.98 * 1014 / ( (6.0 * 106 )2+ h)

as h increases to a very low value near the surface of the earth the value of g can be approximately taken to be constant near the surface of the earth.

So the acceleration is constant near the surface of the earth.

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