Everything accelerates at the same rate, regardless of size or
mass. Drop a lead weight and a feather in a vacuum and they both hit the ground at the same time.
Only in Highschool Physics. In proper grownup physics although the lead wieght and the feather are pulled towards the earth at the same rate, the lead weight (assumeing that the example means the lead weight has more mass), will pull the earth towards it, more than the feather pulls the earth towards it.mass. Drop a lead weight and a feather in a vacuum and they both hit the ground at the same time.
As a theoretical exercise imagine a Mass the size/shape of the earth being created within the gravity well of the earth. Now this new mass will fall towards the earth at a certain rate (When its close 9.8m per s^2). However the earth would also accelerate towards the mass (at 9.8m per s^2 when close enough), so the gap between the two objects is decreceing at 19.6m per s^2. For each object it appears that the other is falling towards it at twice the normal rate/acceration.
So although the acceleration from rest for a mass and a greater mass is the same, the greater mass will hit first, because whatever it is falling towards will accelerate towards it to a greater extent