In heavy rush-hour traffic, a vehicle travels at 12 mph for 1.5 minutes, stops for 3.5 minutes, and then drives at 15 mph for 2.5 minutes. A velocity versus time graph is recommended for visualizing this scenario, as it allows for calculating distance by determining the area under the graph. Additionally, a distance versus time graph can also be utilized, where the slope represents velocity. By plotting the different segments based on their respective speeds and durations, both graphs can effectively illustrate the stop-and-go nature of rush-hour traffic. These graphical representations provide valuable insights into traffic patterns and vehicle movement during peak hours.