show that if gravity is the only force acting on a body it falls near the Earth's surface with acceleration equal to acceleration due to gravity g
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It is also true that a free falling (no air resistance) object falls with an acceleration of 9.8 m/s2—but it's still just the gravitational field. It doesn't matter what object you put near the surface of the Earth, the gravitational field due to the Earth is constant and pointing towards the center of the Earth
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