Designing a physics experiment with matches can incorporate various concepts such as dynamics, collisions, and harmonic motion. The discussion emphasizes the importance of selecting a question that genuinely interests the experimenter to foster engagement. Suggestions include using matches as pendulum bobs or battery holders, showcasing their versatility. The conversation highlights the common challenge of inspiring students to create meaningful projects rather than typical, uninspired experiments. Ultimately, starting with a personal question can lead to a more fulfilling and educational experience.