City A is 150. miles from City B. City C is 300. miles from City B. A pilot flew a plane directly from City A to City B. While making the trip, the plane’s compass indicated a heading of 130.° and its air speed indicator indicated a speed of 60.0 m/s. The trip took 1 hours and 15 minutes. After resting for 2 hours, the pilot flew directly from City B to City C. While making the trip, the plane’s compass indicated a heading of 300.° and its air speed indicator indicated a speed of 80.0 m/s. The trip took 2 hours and 15 minutes.
a) Draw a diagram showing the location of the cities and the distances between them.
b) Calculate the pilot’s final displacement. (Include a vector diagram.)