A projectile is launched on the Earth with a certain initial velocity and moves

Question

A projectile is launched on the Earth with a certain initial 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 1/6 as large.

How does the maximum altitude of the projectile on the Moon compare with that of the projectile on the Earth?

Both initial velocity on the Moon and Earth is the same.
I know that gravity of the moon is 1/6th the gravity of the Earth.
So is the maximum altitude of the projectile on the Moon 6 times greater than the projectile on the Earth? Is there something I'm missing out on?

Explanation / Answer

Given Initial velocity of projectile is vo vo on Earth = vo on moon Maximum height , H = vo^2 sin^ / 2g Hmoon/ HEarth = gE / gM                        = (9.8 m/s^2) / 1.63 m/s^2                        = 6.0 Hmoon = 6.0 HEarth Thus, the maximum altitude of the projectile on the Moon is 6 times greater than the projectile on the Earth                        = (9.8 m/s^2) / 1.63 m/s^2                        = 6.0 Hmoon = 6.0 HEarth Thus, the maximum altitude of the projectile on the Moon is 6 times greater than the projectile on the Earth

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