To analyze a Velocity-Time Graph, acceleration can be determined by calculating the slope of the graph, which represents the change in velocity over time. Maximum displacement can be found by calculating the area under the velocity curve, while the total distance traveled is the sum of the areas, considering any segments below the time axis as negative. For a Displacement-Time Graph, the slope indicates velocity, and the curvature can indicate changes in acceleration. Understanding these relationships is crucial for interpreting motion accurately. This foundational knowledge is essential for solving problems related to motion in physics.