Why does a cannonball fall faster than a feather with air resistance?

[Sherazi]

Two objects of different mass should fall at the same time, both with acceleration g. That is if the objects are in a vacuum, have the same initial speed and height. However, considering air resistance, the acceleration diminishes until both the drag and the weight are equal. Now, a canon ball has a larger mass and weight than a feather. So according to this, am I right to assume it would take a longer time before it achieves equal weight and drag than a feather thus gaining a greater velocity?

I would think the feather quickly obtains uniform speed due to its very low mass and that is why it falls slowly. Is this right?

 

[mathman]

Shape and density are important factors.

A small ball and a large ball of the same material would fall at the same speed.