Final answer:
None of the provided options (a, b, c, or d) would result in the same displacement as a walk of 5 km at an angle of 53° west of north, as they do not combine both the northward and westward components necessary to match the initial displacement.
Step-by-step explanation:
The question asks about the concept of displacement in Physics, especially in the context of vector addition and determining overall displacement from a series of movements. When a boy walks 5 km in a direction 53° west of north, none of the individual straight-line walks listed (north, south, east, or west for 5 km) would result in the same displacement because the original path has both a northward and a westward component.
To match the same displacement, we need to find the northward and westward components of the original walk and ensure that any proposed walk follows the resultant vector created by these components. Displacement is the shortest path between the starting point and the final position, and in this case, the student's question aligns with the concept demonstrated in problem 18 and 33, where displacements are broken down into their component vectors.