Final answer:
Both individuals walking different paths but covering the same distances east and north have the same displacement, making the statement false. Displacement is the straight-line distance from the starting point to the end position, irrespective of the path taken.
Step-by-step explanation:
The question asked whether it is true or false regarding the comparison of displacement between two individuals taking different paths. The statement provided is: '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.' To address the concept, we must understand that displacement is a vector quantity indicating the overall change in position of an object from the starting point to the endpoint, regardless of the path taken.
Therefore, in terms of displacement, it does not matter whether a person walks east first and then north or north first and then east, the displacement is the same because it is measured as a straight line from the starting point to the final position. Consequently, the answer to the provided statement is false. Both individuals have the same displacement, which is the hypotenuse of the right-angled triangle formed by the two legs of 2 blocks and 5 blocks.