Dropping a Black Hole from Tower of Piza

[Ontophobe]

I get that if you drop a tennis ball and a 10 lb medicine ball from the top of a tower they will both reach the ground at the same time. But what if I dropped a softball and a black hole with the radius of a softball (and the mass of a small planet)? Wouldn't the tremendous gravity of the black hole pull that much harder on the Earth, thereby closing the gap between them faster than the gap between the Earth and the softball?

 

[anorlunda]

What does Newton's second law say about the acceleration of the BH?

 

[Khashishi]

Does the answer bother you?
What are the assumptions in the statement "all objects fall at the same acceleration"?
Are the assumptions still valid here?

 

[Vanadium 50]

if I dropped a softball and a black hole with the radius of a softball

The softball would fall into the black hole, and not down.