You and your friend are each standing at opposite ends of a 125 m long park. Your friend, who is initially due south of you, walks 50 m east and stops to wait for you. Then, you walk in a straight line until you reach your friend. a. Choose an origin of coordinates for this problem and make a sketch of the context. b. Write initial and final position vectors for both you and your friend. c. Find the displacement vector for both you and your friend. d. Reflect on your choice of origin for this problem. What impact did your choice have on how you solved it? Could you have made a different choice?