If a ball is dropped from rest, it will initially accelerate due to the force of gravity pulling it downward. However, as it falls, it will encounter air resistance, which will gradually oppose its motion and reduce its acceleration. Eventually, the ball will reach a point where the upward force of air resistance equals the downward force of gravity, resulting in a state of dynamic equilibrium called terminal velocity.
At terminal velocity, the ball will no longer accelerate and will continue to fall at a constant speed. This speed will vary depending on the size, shape, and mass of the ball, as well as the density of the medium it is falling through (usually air).
It's important to note that in the absence of any other forces or obstacles, the ball will continue to fall at terminal velocity indefinitely, effectively moving forever in a downward direction. However, this assumes an idealized scenario where there are no external influences such as air currents, wind, or other factors that could affect its trajectory.