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What is the displacement of a person who walks 4 blocks west then 3 blocks south then 4 blocks east?
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.
What else can I help you with?
Meg walks 5 blocks south and then turns around and walks 8 blocks back to the north the distance she walks is 13 blocks what is her displacement?
If Meg walks 5 blocks south, then turns around and walks 8 blocks back, her displacement is 3 blocks.
If a person walks 3 blocks East and 4 blocks North what is the displacement of the person?
5 blocks
Mackinzie walks 4 blocks west then 2 blocks south then 4 blocks east and finally 1 block south What is the magnitude of her total displacement during this walk?
3
Mackinzie walks 4 blocks west then 2 blocks south then 4 blocks east and finally 1 block south What is the magnitude of her total displacement during this walk in blocks?
The total is 3
If Martha is standing on a street corner in a big city facing south. She walks blocks to the south. Then she turns right and walks blocks. Then she turns right and walks blocks. Then she turns right a?
North
What is the resultant displacement if a person walks 46 meters east then 23 km south?
46 squared + 23 squared = the resultant displacement squared. Pythagoras' theorem.
What is the total displacement of a student who walks 3 blocks east 2 blocks north 1 block west and then 2 blocks south?
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!
What situation below that would produce a total displacement of zero?
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.
A boy first walks 120 meters north then turns around and walks 120 meters south his total displacement is?
zero
Mike walks 100 meters north then walks 30 meters south After this he walks another 10 meters north What is the magnitude of his total displacement during this walk in meters?
80
What is the total displacement of a child who walks 4 m South 2 m North 5 m South and 5 m North?
2 m south
Sarah walks part way around around a swimming pool She walks 50 yards north then 20 yards east and 50 yards south The magnitude of her total displacement during the walk is how many yards?
Sarah's total displacement can be found using the Pythagorean theorem. The horizontal displacement is 20 yards east, and the vertical displacement is 50 yards north minus 50 yards south, which equals 0. This means her total displacement is the square root of (20^2 + 0^2) = 20 yards.
