### Theory:

Objective:

To learn about the distance and displacement using day to life example.

Consider Amir and Akash are brothers and they go to school from home together every day. But one day Akash decided to reach school after attending tuition. The path they traveled is given in the figure.

So from the above details, can you tell me which person took the longer path to reach the school?

Clearly, the path Akash traveled to school is quite longer than Amir traveled.

Therefore, Amir reached school faster than Akash, because Amir traveled in the shortest path.

That is the shortest path is the quickest way to travel from one place to another place. Mostly the shortest paths are like a straight line path.

Now we will see the definitions of distance and displacement.

Distance:
The total length of a path taken by an object to reach one place from the other is called distance.

The SI unit of distance is meter (m).
In this case, the total distance traveled by Amir from home to school is 20 km, and the total distance traveled by Akash is 25 km.

Displacement:
The shortest distance from the initial to the final position of an object.

The SI unit of displacement is meter (m).
Amir traveled 20 km which is the shortest distance home to school.

But even though Akash took the longest distance to reach school, if he traveled faster than his brother can he can reach school quickly than Amir? Keep thinking!!!!

On next exercise we will learn about speed, there you understand the displacement with respect to speed.
Important!
Distance only gives the distance covered by an object in numerical value. But the displacement gives distance with direction.