Final answer:
Displacement depends on initial and final positions, so the displacements are the same, which makes the statement false. Potential energy increases with height, not kinetic energy, making that statement false. High-voltage wires are held by insulators but are not insulated themselves, making the statement about them being wrapped in an insulating material false.
Step-by-step explanation:
Regarding the question on displacement, the correct answer is b. False. Displacement is a vector quantity that depends only on the initial and final position of the person, regardless of the path taken. In both cases, since the two individuals have walked the same distance east and north, their final positions—and thus, their displacement from the origin—are the same.
As for the question on energy, the answer is b. False. When a rock is thrown into the air, the increase in height would increase the rock's potential energy, not its kinetic energy. As it falls back to the ground, its potential energy decreases while its kinetic energy increases due to acceleration by gravity.
Concerning high-voltage wires, it is b. False. High-voltage wires are indeed held aloft by insulators; however, these wires themselves are not wrapped in insulating material. They are bare to avoid the capacitance that an insulator would add, which can cause energy loss at high voltages.