Final answer:
The claim about kinetic and potential energy of a thrown rock is false, as they convert between each other during the rock's trajectory. Disobeying directions typically alters displacement, making the statement false. The First Reconstruction Act of 1867 dividing the South into military districts is true.
Step-by-step explanation:
The statement regarding kinetic and potential energy is false. When a rock is thrown into the air, its kinetic energy decreases as it rises and is converted to potential energy, which is at its maximum at the highest point of its trajectory. As the rock falls back to the ground, the potential energy is converted back into kinetic energy, which increases until the rock hits the ground.
For the statement concerning displacement, it is false if it implies that disobeying directions does not affect displacement. The actual displacement would depend on how the directions were not followed.
Regarding the First Reconstruction Act of 1867, the statement is true. This act did divide the South into military districts as part of the Reconstruction efforts following the American Civil War.