Satisfaction with a dynamic outcome is positively related to its value, the change in the value, and the rate of change. Proposed in this article is another outcome-satisfaction relation: Satisfaction is positively related to the change in the rate, or quasi-acceleration (QA). We tested this proposition (a) in a direct comparison paradigm where Ss compared pairs of hypothetical academic or investment values of different QAs unfolding graphically on the computer (Experiment 1) and (b) in a between subject paradigm where Ss in different QA conditions indicated moment-to-moment feelings about a hypothetical investment value changing numerically on the computer (Experiment 2). In support of the QA relation, Ss in both experiments indicated greater satisfaction the more positive the QA. Limitations of the present research and implications for a relative and temporal perspective on outcome-satisfaction relations are discussed.