2. A bug is on the tip of a second hand of a clock. The bug moves around the rim of the clock and completes 1 full rotation in 60s. For each diagram below, a different origin of the coordinate system has been chosen (marked by an X). Use the position vectors you drew in (1) to perform the following exercises. a) Origin is at center of clock 45 s O s 15 s Use graphical vector addition to determine the displacement vector that describes the bug's motion from Os to 15s. Show your work. Av = 15 + (-1) v. A = 155 30 s Use graphical vector addition to determine the displacement vector that describes the bug's motion from Os to 30s. Show your work. RV = 30st (-1) vos V Av = 305 b) Origin is at 45s mark of clock O s Use graphical vector addition to determine the displacement vector that describes the bug's motion from Os to 15s. Show your work. 45 s 3. v 15 s 30 s Use graphical vector addition to determine the displacement vector that describes the bug's motion from Os to 30s. Show your work. c) Does the choice of origin affect the norm and/or direction of the displacement vectors that defined the various changes in position of the bug?