Final answer:
The statement that the displacement of the first person will be more than that of the second person is False. Both persons would have the same displacement as they both make the same eastward and northward movements, regardless of the order of the movements.
Step-by-step explanation:
When considering the statement "A person walks 2 blocks east and 5 blocks north. Another person walks 5 blocks north and then two blocks east. The displacement of the first person will be more than the displacement of the second person." the correct response is:False.Displacement in mathematics refers to the change in an object's position as a straight line from its starting point to its end point. The order in which these movements are made does not change the overall displacement since both individuals end up at the same point relative to their start. This can be visualized using the Pythagorean theorem, where the displacement or the straight-line distance (hypotenuse in this case) is the same for both individuals as it involves a 2-block eastward and a 5-block northward movement, forming a right-angled triangle.
Therefore, since the displacement is based on the final change in position, and both individuals traveled the same eastward and northward distances, their displacements are equal.