Name: Date: Period: Physics Tours Homework Purpose: In this activity, you will use both the head-to-tail method and the analytical method of vector addition in order to determine the resultant displacement of two trips which have three individual "legs." For each trip, you will use the provided map of the United States (please excuse the quality) to make scale measurements in order to determine the ultimate location and you will use a calculator and trigonometric functions to determine the resultant displacement and thus identify the ultimate location. Materials: Protractor . Ruler Map of USA AZU Calculator Trip #1: Head-to-Tail Method of Determining the Resultant: On the map, use the indicated scale to add the following three vectors (A, B, C) in a head-to-tail fashion. Include an arrowhead on each vector and label them clearly as A, Band C. Draw the resultant of A + B + C on the diagram and label it as R1. Begin at Austin, Texas. A B C 720 km at 30 degrees west of 2080 km at 65 degrees north 800 km at 70 degrees north south of west of east The resultant of A + B + Cis. (include magnitude and direction). The final destination appears to be in or at least close to (use a map of the USA if necessary) the city of in the state of Analytical Method of Determining the Resultant: Now use a calculator, trigonometric functions, and principles of vector resolution to determine the components of each vector; include both magnitude and direction for each component. Show your work in each of the cells of the first three rows of the data table. Finally, add all the components to determine the horizontal and the vertical components of the resultant of A + B + C. Vertical or N-S Component Vector Horizontal or E-W Component A B C Resultant Now use the components of the resultant to determine the magnitude and the direction of the resultant. As found _ (include magnitude and direction). by the analytical method, the resultant of A + B + Cis When this resultant displacement is measured on the provided map, the final destination appears to be in or at