Magnitude of its displacement is 140.9 Km
The graph is attached below.
Displacement is defined as the difference between final and initial position of the object. It is different from distance in the way that it is influenced by the direction of the moving object and not just the magnitude as it is a vector quantity. For example the total displacement of an object moving in circular motion is zero regardless of the distance it travelled. The unit of displacement is meter(m).
For the given question,
The car is driven 125.0 km due west, then 65.0 km due south making a right angled triangle for which hypotenuse is the total displacement.
According to pythagoras theorem: A² + B² = C²
Where A and B are the perpendicular sides of the triangle and C is the hypotenuse.
Now, 125² + 65² = C²
C² = 19850
C = [tex]\sqrt{19850}[/tex]
C = 140.9 Km
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