Answer:
Distance covered by Tara is 9 km.
Displacement of Tara is 6.71 km.
Explanation:
Distance is the total path length covered by a body. Here, the total path length is the sum of all the distances covered in each directions.
So, total distance is given as:
Distance, [tex]D=5+3+1=9\ km[/tex]
Now, displacement only depends on the initial and final position of the body. Let the initial position of Tara be represented by the origin [tex]O(0,0)[/tex] and the final position be represented by 'C' as shown in figure. Let the north direction be positive y axis and east direction be positive x axis.
Then from the figure, the final position 'C' will be at (3,6).
Therefore, using distance formula between two points, we find the displacement as 'OC' which is given as:
[tex]OC=\sqrt{(6-0)^2+(3-0)^2}=\sqrt{6^2+3^2}=\sqrt{36+9}=\sqrt{45}=6.71\ km[/tex]
Therefore, the displacement of Tara is 6.71 km.
