Final answer:
The statement regarding the difference in displacements of the two individuals taking different paths is false because displacement is a vector quantity, and both paths described result in identical right triangles with equal hypotenuses, indicating equal displacements.
Step-by-step explanation:
The student's question pertains to the concept of displacement in physics. Specifically, it asks to assess the truthfulness of a statement related to the relative displacements of two individuals taking different paths. Consider the scenario where one person walks 2 blocks east and then 5 blocks north, and another person walks 5 blocks north and then 2 blocks east.
Displacement is a vector quantity, meaning it has both magnitude and direction. It is the straight-line distance from the starting point to the final position. The paths taken by the two individuals described in the problem form right triangles that are geometrically identical, thus their hypotenuses, representing the displacements, are the same. Therefore, we can conclude that the displacement of the first person is not more than the displacement of the second person. The correct answer is:
b. False