This study bridges a gap in AI acceptance literature by integrating Time Perspective Theory with the Technology Acceptance Model by examining how time orientations influence AI acceptance in various service settings. The results show that past-positive, present-hedonistic, and future time perspectives impact individuals' privacy concerns and their recognition of AI's utilitarian and hedonic benefits. Conversely, past-negative and present-fatalistic perspectives show negligible effects. The study highlights distinct patterns in credence versus experience services, with future-oriented and present-hedonistic individuals favoring AI's benefits in hospitals over restaurants, and past-positive individuals valuing hedonic benefits more in restaurant settings. These orientations affect perceived usefulness and ease of use, with privacy concerns significantly influencing ease of use. The findings offer significant theoretical and practical implications, underscoring the nuanced role of time perspectives in AI service robot acceptance across different environments.