The area under a distance vs. time graph is related to the concept of absement, which has units of length multiplied by distance. Absement is a higher-order derivative that can provide insights into motion beyond basic displacement. Discussions also touch on the complexity of derivatives of position, including terms like jerk and crackle. Participants express confusion over the terminology and seek clarification on the relationship between area under the curve and these concepts. Overall, the conversation highlights the need for further exploration of these advanced motion metrics.