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