You move a 210 g cup across the room from your 113 cm tall counter top table to the top cabinet shelf at a height of 160 cm. You carry it a horizontal distance 4.6 m across the room to get there. You can carry the cup any one of three possible paths: - Path 0: Carry the cup horizontally until you get to the cupboard and then raise it vertically up to the shelf. - Path R: Raise the cup vertically to the height of the shelf and then can},r il horizontally to the seif. - Path 5: Bring the cup from the countenop to the shelf in a straight line motion from its initial position to its final position in one motion. I. Paths Write the vectors for each path of motion. (a) Write the vectors for each phase of path Q