A jogger begins at a park entrance, runs 3.0 km due east, then 4.0 km due north, and finally 2.0 km due west before stopping for a rest.
Address the following prompts about the jogger’s motion. Provide clear, well-reasoned explanations that reference the information given.
(1) Explain the difference between the total distance the jogger travels and the magnitude of the jogger’s displacement for this trip.
(2) Without performing a detailed calculation, determine which quantity—distance or displacement magnitude—is larger for this trip and justify your answer based on the vector nature of displacement.