Tara goes on a camel safari in africa. she travels 5 km north, then 3 km east and 1 km north again. what distance did she cover? what was her displacement?

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,

Now, displacement only depends on the initial and final position of the body. Let the initial position of Tara be represented by the origin 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:

Therefore, the displacement of Tara is 6.71 km.