How high and far could a person jump in lower gravity?

Specifically, half of Earth's gravity. Let's assume that all other factors are equal to Earth.

At a glance, it seems like the answer might simply be "double", but at the same time it seems as though the massive shift of strength to body weight ratio would make things less obvious.

Also, bonus points for how high/far something could be thrown (proportionally) and how gravity plays into the fall speeds of each of these things.

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How high and far could a person jump in lower gravity?

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