Consider the GasBuddy application, which displays nearby gas stations for a given location. Assume that GasBuddy automatically updates the location as the user moves, and that it also updates the nearby gas stations. It has two options for obtaining location information. The first option: by using GPS, which is more accurate. The second option: by using the mobile tower-based cellular network, which is far less accurate. Suppose that there is a GasBuddy user who is driving down a street, and the GPS signal is lost at time t = 0. Also suppose that the average speed of traffic is 5 mph. The error in GPS localization is 40 m (0.024 miles), while the error in mobile tower-based localization is 500 m (0.3 miles). Consider that the location information is requested by GasBuddy every minute. When should you switch from GPS to cellular?