Question

how your weight would change with time if you were on a space ship traveling away from earth toward the moon

Answer 1

your weight would get way less if you are on the moon you will weigh 1/6th of how much you weigh now so if you were 60 pounds on earth then you would be 10 pounds on the moon. you would also be able to jump really high

Answer 2

Your weight would be reducing over time on your way from Earth towards the moon.

And right on the Moon, your weight would reduce to one sixth of the value it was on the Earth.