Final answer:
In Physics, displacement is the straight-line distance between the start and end points. Jerome and Erik's displacement is the same as they start and end at the same points. To rank Terri, Aaron, and Jamal by average speed, you divide their total distances by their travel times, resulting in Jamal having the lowest and Aaron the highest average speed.
Step-by-step explanation:
The question at hand relates to displacement and average speed, concepts that are fundamental in Physics. Displacement refers to the straight-line distance from the starting point to the end point along with the direction of that straight line, which differs from total distance traveled as it does not account for the path taken. Average speed is calculated by dividing the total distance traveled by the time taken to travel that distance. For Jerome and Erik, each camper takes a different path to reach the same spot on a lake, with Path 1 being 7.5 km and Path 2 being 8.2 km. However, the displacement for each would be the same since they start and end at the same points, and displacement only considers the straight-line distance between these two points.
With Terri, Aaron, and Jamal, we need to calculate the average speeds to rank them. Terri's average speed is 3.95 km/0.8 hr (which is 4.9375 km/h), Aaron's is 2.65 km/0.5167 hr (which is 5.1274 km/h), and Jamal's is 6.5 km/1.35 hr (which is 4.8148 km/h). Thus, the correct order from lowest to highest average speed is Jamal, Terri, Aaron.