You finish 2 blocks east and 8 blocks south of your starting point.
3 blocks east
Ralph is one block north of his starting place, although he walked eleven blocks to get there. The Coordinate SolutionIf you consider the starting point at (0,0) and movement north /east as positive, and south / west as negative, you create the following movement. (0,0) + (4,0) + (0,2) + (-3, 0) + (0, -2) = (1,0) or 1 block north of the start.
Two blocks east of their starting position.
2 blocks west and then 3 blocks south
To complete the circle you would have to walk 10 blocks south and 1 block east to return to your starting point, 11 blocks.
They walked a total of eight blocks. The route consists of two blocks north, four blocks west, and two blocks south, which adds up to 2 + 4 + 2 = 8 blocks.
It's a total of seven blocks... You would need to walk 5 blocks south, and 2 blocks east to end at your original starting place !
To find out how many blocks you would need to walk back, first calculate your net displacement in the east-west direction. Starting from your original position, moving 6 blocks east and then 9 blocks west results in a net displacement of 3 blocks west. Since you are 10 blocks north, you would need to walk back 3 blocks east to return to your starting point. Therefore, you need to walk back 3 blocks east.
Fred's journey consists of moving two blocks north, three blocks east, and then two blocks south. After traveling north and south, his vertical position returns to the same horizontal line. However, the three blocks he moved east remain, meaning he is ultimately four blocks east from his starting position. Therefore, he is indeed four blocks from his starting place.
3 blocks west
17 blocks
Edward and his family have walked a total of eight blocks (2 blocks north + 4 blocks west + 2 blocks south). To find their total displacement, we can visualize their path: they end up two blocks west of their starting point. The magnitude of their displacement is simply the straight-line distance, which is 4 blocks (2 blocks north and 4 blocks west can be combined using the Pythagorean theorem: √(2² + 4²) = √20 = 4.47 blocks, but since the question asks for magnitude only, we can state they are effectively 4 blocks away westward).