Suppose that I am jumping on the Earth, and I weigh 130 lbs. I push off with an initial vertical velocity of 2 m/s, and reach my highest height at 4 m.
If I were to jump on a different planet with an extra 130 lbs (earth weight) because of a space suit etc., would I have a different vertical velocity?
delta y = vyi(t) + a(t^2)
vyi = initial vertical velocity
delta y = height
Earth has gravity acceleration constant = 9.8 m/s^2
The Attempt at a Solution
If I were on a planet with a gravity acceleration constant greater than Earth, I would think that I would have a smaller initial vertical velocity because I have to overcome a greater force of gravity.
On the other hand, if I were on a planet with a gravity acceleration constant less than Earth, I would think I would have a greater initial vertical velocity because I have to overcome less force of gravity.
Apparently the initial vertical velocities (neglecting the extra mass of the space suit) are all the same on all planets. I don't understand this! Does this also mean that since they are all the same, if I add the constraint that I have extra mass, I will have a smaller initial vertical velocity (even if I am on a planet with weaker gravity)??