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A good answer depends on several things you haven't specified, such as the height from which the object falls and whether you wish to include the affects of air resistance.

In the simplest model of free fall motion, we assume the falling object falls from a height near the surface of the Earth. This allows us to assume the acceleration due to gravity has a constant value of 9.80 m/s2. We also ignore air resistance. In an introductory physics course we do this simply to avoid an added complication. Briefly, if we include air resistance the net force becomes non-constant which prevents us from using the kinematic equations to describe the object's motion.

With these assumptions, a falling object experiences an increase in speed of 9.80 m/s every second. Falling from rest, after one second the object's speed will be 9.80 m/s. After two seconds, its speed will be 19.6 m/s, and so on until the object hits the ground. It's important to notice that the object's mass does not into the model. Absent air resistance, all objects near the surface of the Earth fall with the same acceleration regardless of their mass. This is a property of the gravitational force. We would get the same result on the Moon for example, although the value of the acceleration would be less than it is on the Earth.

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