Final answer:
To find the total distance the football coach traveled, one must add the individual distances from A to B, B to C, C to D, and so on. Displacement, which considers direction, is different from total distance. Without actual measurements for each leg, the exact distance cannot be calculated.
Step-by-step explanation:
The question relates to the subject of physics, specifically the concept of displacement and distance in kinematics. The total distance traveled by the coach is the sum of all individual stretches walked along the sidelines, regardless of direction. The vector quantities mentioned in the provided information suggest a focus on displacement, which is different from total distance because displacement considers the shortest path between the initial and final position, taking direction into account. In this case, however, the student is asked to find the sum of the lengths of all legs walked, which is the total distance covered. To answer this question, one would require the lengths of individual paths the coach walked from points A to B, B to C, C to D, etc., and sum them up.
Without the actual distances given between the points (A, B, C, D, etc.), we cannot numerically solve for the total distance. If the student can provide these distances, an accurate calculation can be made. One useful strategy is to create a vector diagram if these were necessary to solve for displacement, but for the total distance, addition of scalar quantities (the magnitudes of each individual path) is sufficient.