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Given:
The distance traveled by car;
d₁=25 km to the north
d₂=25 km to the west.
d₃=40 km to the north.
d₄=20 km to the west.
To find:
The displacement of the car.
Explanation:
The displacement of an object is the shortest distance between its initial and final position.
Referring to the diagram, D is the displacement of the car.
The total displacement of the car is given by,
[tex]D=\sqrt{(d_1+d_3)^2+(d_2+d_4)^2}[/tex]On substituting the known values,
[tex]\begin{gathered} D=\sqrt{(25+40)^2+(25+20)^2} \\ =79.06\text{ m} \end{gathered}[/tex]Final answer:
Thus the total displacement of the car is 79.06 m
