The physically consistent choice is vf^2 = vi^2 + 2aS, based on the chapter's treatment of motion. The question tests whether the learner can distinguish the required quantity from related ideas and use the stated information without adding unsupported assumptions. The alternatives vf = vi + at, S = vit + 1/2 at^2, and Average speed = distance/time do not satisfy the governing definition, graph interpretation, direction convention, or numerical relationship in this case. In examinations, identify the known quantities, keep SI units consistent, select a positive direction where needed, and apply the appropriate definition or equation. This also checks that the answer has a sensible magnitude and unit.