Final answer:
The statement is false because as a rock is thrown into the air, its potential energy increases with height, while its kinetic energy decreases. When it falls, its potential energy converts to kinetic energy, increasing its velocity and kinetic energy.
Step-by-step explanation:
The question is addressing a concept in physics related to energy transformations that occur when an object is moved. The statement suggests that when a rock is thrown into the air, its increase in height would increase its kinetic energy, and the increase in velocity as it falls to the ground would increase its potential energy. This is a false statement.
As a rock is thrown into the air, its potential energy increases because it is gaining height above the ground, and this potential energy is derived from the work done against the force of gravity. Conversely, as the rock reaches its highest point, its kinetic energy decreases because its speed decreases. When it starts falling back to the ground, its potential energy is converted back into kinetic energy, increasing its velocity and therefore increasing its kinetic energy, not its potential energy as the original statement said.