Understanding emotion responses relies on reconstructing how individuals appraise events. While prior work has studied emotion trajectories and inherent correlations with appraisals, it has considered appraisals only in a snapshot analysis. However, because appraisal is a complex, sequential process, we argue that it should be analyzed based on how it unfolds throughout a narrative. In this study, we investigate whether trajectories of appraisals are distinctive for different emotions in five-event stories – narratives where each of five sentences describes an event. We employ zero-shot prompting with a large language model to predict appraisals on sub-sequences of a narrative. We find that this approach is effective in identifying relevant appraisals in narratives, without prior knowledge of the evoked emotion, enabling a comprehensive analysis of appraisal trajectories. Furthermore, we are the first to quantitatively identify typical patterns of appraisal trajectories that distinguish emotions. For example, a rising trajectory for self-responsibility indicates trust, while a falling trajectory suggests anger.