Final answer:
The first statement is false; as a rock is thrown into the air, kinetic energy decreases and potential energy increases, and vice versa as it falls. The second statement is true; a solar sail craft can be propelled solely by solar wind particles.
Step-by-step explanation:
The statement that "If a rock is thrown into the air, the increase in the height would increase the rock's kinetic energy, and then the increase in the velocity as it falls to the ground would increase its potential energy" is false. When you throw a rock into the air, its kinetic energy is initially converted into potential energy as it rises. At the highest point of its trajectory, the rock's kinetic energy is at its minimum because the velocity is zero, and the potential energy is at its maximum. As the rock falls back to the ground, the potential energy is converted back into kinetic energy, resulting in an increase in velocity.
As for the solar sail craft, the statement that "It is possible to propel a solar sail craft using just particles within the solar wind" is true. Solar sails are designed to be pushed by the pressure of sunlight; however, they can also gain momentum from particles carried by the solar wind. This propulsion method does not require on-board fuel, making solar sails a promising technology for long-duration space missions.