Am I right in what I think I remember? The longer the distance that an object falls the more speed it will pick up as it drops. Ex: Drop a 50-pound weight from the third floor. Drop another 50-pound weight from the tenth floor. The second weight will pick up more speed before it hits the ground than will the first weight.
Do I have it right? Conversely, what if you drop two different weights from the same floor? Will the heavier weight fall any faster than the lighter weight? Seems to me it would but I think it has been shown not to do so.
Newton's Second Law: F=ma. Force = mass x acceleration.
The force here is the force of gravity on the object. This is constant so will cause a constant acceleration in a dropped object. So something dropped from the 10th floor will have longer to accelerate before hitting the ground than something dropped from the 3rd, and will thus be moving faster when it strikes.
However, the force of gravity on an object is also proportional to its mass. For example the force of gravity on a 2lb mass is double the force on a 1lb mass.
However, if you drop it, this force has to accelerate double the mass. So the two doubling effects cancel and it accelerates at the same rate as the 1lb mass would if you dropped that.
(This analysis neglects air resistance, of course. Air resistance depends on the shape of the object, not its mass.)