Ojectile is launched on the Earth with a certain ini - tial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one - sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is!6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.

Question

Physics

Madilynn Rocha

20 November, 18:57

Ojectile is launched on the Earth with a certain ini - tial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one - sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is!6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.

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Kaydence Pineda · Answer 1

--vertical from ground to top--

v^2 = u^2 + 2as

with v = 0, a=g, s=u^2 / (-2g)

g on the moon is 1/6

u is equal, then it goes 6 times higher on the moon.

v = u + at

with v = 0, a=g, t = u / (-g)

g on the moon is 1/6

u is equal, then it takes 6 times longer on the moon.

--horizontal--

s = vt, v is equal

t on the moon is 6 time longer

it moves 6 times farer on the moon