I think this is a homework question on co-ordinates so rather than work it out for you, for YOUR benefit I'll explain the formal approach I believe to be the point of the exercise.
If by displacement you mean simply total distance walked then obviously it's 4+3+4 = 11 block widths, but I don't think that's the question.
- Consider the starting point as the origin (0,0).
- Consider each move East as + and a move West as - , both in the X-axis.
- Consider moves North and South as+ and - on the Y-axis, respectively.
- Consider each block as a square of side length = 1.
Now create the co-ordinates for each turning-point by expressing the moves themselves as co-ordinate pairs.
So the first move is
Origin + Move=
(0,0) + (-4, 0)
because the person has walked 4 West but neither N nor S. Adding those co-ordinates algebraically, i.e. observing the + and - signs correctly:
(0,0) + (-4,0) =(-4, 0).
So (-4, 0) is the walker's second location, the first being the Origin.
Now repeat the method. Add the 2nd move (0, -3) to that2nd location.
That creates his/her3rd location.
Take that 3rd location co-ordinate pair and add the 3rd, or final, move pair, again algebraically.
Yippee! You now have the destination location provided you've manipulated the numbers AND polarities (the + and - signs) correctly.
In fact you can establish it semi-intuitively from the question, but to do so doesneed practice in co-ordinates.
The fancy name for the"move" here is "vector", a value having magnitude (distance) and direction (E, W etc);but I wanted a more obvious term to helpyou grasp what's happening.
If Meg walks 5 blocks south, then turns around and walks 8 blocks back, her displacement is 3 blocks.
5 blocks
To find Mackinzie's total displacement, we can analyze her movement. She walks 4 blocks west, 2 blocks south, 4 blocks east, and then 1 block south. After moving west and then east, her net east-west displacement is 0 blocks. Her total southward movement is 3 blocks (2 blocks + 1 block). Therefore, the magnitude of her total displacement is 3 blocks south.
3
The total is 3
North
46 squared + 23 squared = the resultant displacement squared. Pythagoras' theorem.
The answer is....................................... LOL do it yourself, lml no its ................ Me giving you the answer wont help you............. I bet your still waiting or you went back but okay... your still here -________- suits your self Its 2 blocks east!
If a person walks 10 meters north and then walks 10 meters south, their total displacement would be zero since they would end up back where they started.
zero
80
2 m south