A bug starts at a point and travels 1 m northward,
m eastward,
m southward, m westward, m northward, and so on, making a 90°-turn to the right and halving the distance each time.
(a) What is the total distance traveled by the bug?
(b) Find the final position of the bug relative to its starting location.
(c) Find the straight-line distance from the starting location to the final position.