Answered

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A car moves 25km north and then another 25km west after that it moves 40km north and then 20km west. Find the displacement

Sagot :

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

View image KoutaC101266
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