Question

The diagram shows the path taken by a lost sheep. His owner, Jamil, found him at the end of the path. What was the sheep's displacement?

Answer 1

The displacement of Jamil's sheep
`=5\ km`

Step-by-step explanation:

Displacement is the shortest journey.

It is also the shortest distance from initial position to final position of an object.

Lets say that the distances covered by the sheep in east
`10\ km =AO`.

The distance covered in south is
`= 5\ km=OB`

The distance covered in west is
`= 10\ km = BK`

But if we look upon the diagram it goes in a rectangular shape where
`AO=BK` we can say that
`AK` is the shortest distance to reach point
`K` which is the final destination of the sheep,and
`BO=AK`.

So displacement
`AK = 5\ km`

The displacement of the sheep
`= 5\ km`