Why can a body thrown vertically upward on Earth be considered weightless only approximately, while a body thrown

Why can a body thrown vertically upward on Earth be considered weightless only approximately, while a body thrown vertically upward on the Moon is in full weightlessness?

A body thrown vertically upwards on the Earth can be considered as being in zero gravity only approximately, but on the Moon it is in complete zero gravity, because the acceleration due to gravity on the moon is less than on the earth, and the body needs to be given a small acceleration to compensate for the acceleration of gravity.

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