Final answer:
The ball's kinetic energy as a function of its height after release increases linearly with height.
Step-by-step explanation:
The ball's kinetic energy as a function of its height after release increases linearly with height. This means that as the height of the ball increases, its kinetic energy also increases. The relationship between kinetic energy and height is determined by the gravitational potential energy of the ball. As the ball is lifted to a greater height, it gains more potential energy, which is then converted to kinetic energy as it falls.