At the same location, all unsupported objects fall toward the center of the earth with the same, constant acceleration. This acceleration has nothing whatsoever to do with the object's mass or velocity, or with any detail of its motion. At the surface of the earth this gravitational acceleration, g, has a value of about 10 m/s2. A ball thrown upward has this acceleration. A ball thrown downward has this acceleration. A ball thrown in any direction has this acceleration.

Another animation, ball thrown up!

If forces other than gravity act, the acceleration can be anything, including zero.