Can an object be in freefall if it is traveling upward?

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Can an object be in freefall if it is traveling upward? I'm thinking the answer is no?

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Combining the two comments, yes. The definition of freefall is that the only force acting on the body is gravity, so if it is in an (approximate) vacuum and launched upwards by some force that terminates, it is in (approximate) freefall. You can argue about the drag of the small atmosphere that exists and the solar radiation pressure, but those do not seem to be in the spirit of the question.