Question

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

Answer 1

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.

Step-by-step 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,

`D=√((d_1+d_3)^2+(d_2+d_4)^2)`

On substituting the known values,

`\begin{gathered} D=√((25+40)^2+(25+20)^2) \\ =79.06\text{ m} \end{gathered}`

Final answer:

Thus the total displacement of the car is 79.06 m