If you travel 10m[E],25m[S], 12m[W] and 25m[N] what is the displacement
To find the displacement, we can use the Pythagorean theorem.
The horizontal displacement (east and west) is 10m east - 12m west = -2m west.
The vertical displacement (north and south) is 25m south - 25m north = -25m south.
The displacement is the vector sum of the horizontal and vertical displacements. Using the Pythagorean theorem:
displacement = √((-2)^2 + (-25)^2) = √(4 + 625) = √629 ≈ 25.1m
Therefore, the displacement is approximately 25.1m.