Two students are arguing about playing soccer on the moon,where g has about 1/6

Question

Two students are arguing about playing soccer on the moon,where g has about 1/6 of its value on the Earth. Student Aclaims that with the same kick, the ball would rise higher and landfarther down-field on the moon than on earth. Student Bagrees that the ball will rise higher, but argues that because thegravitational acceleration only affects the vertical motion theball will not land father down-field than on Earth. Withwhich student would you side? Why? Would the ball actually land farther down-field because oflack of air resistance on the moon? Would gravity only affectvertical distance and air resistance affects range on earth? (or maybe I have no idea what I'm talking about?) :) Two students are arguing about playing soccer on the moon,where g has about 1/6 of its value on the Earth. Student Aclaims that with the same kick, the ball would rise higher and landfarther down-field on the moon than on earth. Student Bagrees that the ball will rise higher, but argues that because thegravitational acceleration only affects the vertical motion theball will not land father down-field than on Earth. Withwhich student would you side? Why? Would the ball actually land farther down-field because oflack of air resistance on the moon? Would gravity only affectvertical distance and air resistance affects range on earth? (or maybe I have no idea what I'm talking about?) :)

Explanation / Answer

THIS IS THE CASE OF OBLIQUE PROJECTION OF PROJECTILE          Maximumheight , H = ( U 2 Sin 2 ) / 2g          Horizontal Range, R = ( U 2   Sin2 ) / g           As U and are constant, H and R values are inverselyproportional to g           Hence, both maximum height and Range are more on moon compared toEarth            Iagree with the Student 'A"

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