A person travels 4 meters North 6 meters West and 4 meters South. what is the total displacement?
6meter west
To find the total displacement, we need to combine the individual displacements in the given directions.
Let's break down the given information:
- A person travels 4 meters North
- A person then travels 6 meters West
- Finally, a person travels 4 meters South
To determine the total displacement, we can use a coordinate system.
Assuming the starting point is the origin (0,0), we can visualize the movement as follows:
- Traveling 4 meters North moves the person to the point (0, 4).
- Traveling 6 meters West moves the person to the point (-6, 4).
- Traveling 4 meters South moves the person to the point (-6, 0).
Now, we can calculate the displacement from the starting point (0,0) to the final point (-6, 0).
To find the displacement, we use the distance formula, which is the square root of the sum of the squares of the differences in coordinates. In this case, the formula becomes:
Displacement = √((-6 - 0)^2 + (0 - 0)^2)
= √((-6)^2 + (0)^2)
= √(36 + 0)
= √36
= 6 meters
Therefore, the total displacement is 6 meters.