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# Determine how much farther a person can jump on the Moon ascompared to the Earth if the takeoff speed and angle are the same.The acceleration due to gravity on the Moon is one-sixth what it ison Earth.

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Determine how much farther a person can jump on the Moon ascompared to the Earth if the takeoff speed and angle are the same.The acceleration due to gravity on the Moon is one-sixth what it ison Earth.

Horizontal range of a projectile $$\displaystyle{R}={V}^{{2}}{\frac{{{\sin{{2}}}\theta}}{{{g}}}}$$
From equation $$\displaystyle{R}\approx{\frac{{{1}}}{{{g}}}}$$ and so
If $$\displaystyle{g}_{{{m}\infty{n}}}={\frac{{{1}}}{{{6}}}}{g}_{{{e}{a}{r}{t}{h}}}$$
If $$\displaystyle{R}_{{{m}\infty{n}}}=$$ six time $$\displaystyle{R}_{{{e}{a}{r}{t}{h}}}$$