5.3 km
This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.
Let us denote each of the individual displacements by a vector. Consider the unit vectors as the unit vectors in the direction of East and North respectively.
By simple calculations, we can derive the unit vectors j, and in the directions North, South of West, and North of West respectively.
So Total displacement vector = The Sum of individual displacement vectors.
Displacement vector = -4.25i + 3.165j
The magnitude of Displacement =| -4.25i + 3.165j | = 5.3km
∴ Total displacement = 5.3km
A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions. It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.
The final location xf of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the final and initial coordinates can be used to define the equivalent displacement vector.
To learn more about displacement from the given link:
#SPJ9