A large ball with larger mass is rolled off a table (ignore friction). Then a small ball with small mass is rolled off the same table at the same speed. Which ball hits the ground farther away from the table?

Both balls will hit the ground at the same horizontal distance from the table's edge! This is due to the fact that the horizontal motion and the vertical motion are independent of one another. Since they both start rolling off the table with the same initial horizontal speed, they will remain in the air for the same amount of time before they land, regardless of their masses. You might be wondering about air resistance, but in this ideal scenario where we ignore friction and only consider gravity's effect, the larger mass doesn't have an advantage. So, they both hit the ground at the same distance— physics is a level playing field for falling objects!