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a person can jump a horizontal distance of 1.9 m on the earth. the acceleration of gravity is 6.74 m/s^2. How far could he jump on the moon, where the free-fall acceleration is 0.256g?

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Answer:

The length of a person's jump, given that the initial velocity and angle of takeoff remain constant, is inversely related to the gravitational pull. This is due to the fact that a weaker gravitational force allows a person to stay airborne longer, thereby increasing the jump distance. On the lunar surface, the gravitational pull is 0.256 times that of Earth's. Therefore, the horizontal distance a person can leap on the moon would be roughly 1.9 m divided by 0.256, equating to approximately 7.42 meters.

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