Final answer:
The displacement of the jogger is 46 meters east and 62 meters south, with a magnitude of approximately 77.46 meters. This is calculated using the differences in east-west movement and the Pythagorean theorem.
Step-by-step explanation:
The student asked about the displacement and the magnitude of the movement of a jogger who runs 218 meters eastward, then 172 meters westward, followed by 62 meters southward. To find the displacement, we subtract the westward distance from the eastward distance to find the east-west component and take the southward distance as the north-south component. The displacement in the east-west direction is 46 meters east (218 - 172), and in the north-south direction, it's 62 meters south. To calculate the magnitude of the displacement, which is the straight-line distance from the starting point to the final position, we use the Pythagorean theorem: sqrt(46^2 + 62^2), which gives approximately 77.46 meters.