Question

If a body travels 6 m towards east and 8 m towards south, the displacement of the body is (a) 10 m towards south (b) 14 m towards east (C) 10 m towards north-east (d) 10 m towards south-east​

Answer 1

Explanation:

As we know that displacement means the change in position of an object. It is a vector quantity and has a direction and magnitude and in short we can also say that the shortest distance between the starting point and the final point.

So here the shortest distance between point AC is the line joining it.

So we will find it out by using Pythagoras theorem

I.e. AC=(AB)2+(BC)2−−−−−−−−−−−−√ now put the data in the formula we get,

⇒AC=(8)2+(6)2−−−−−−−−−√=64+36−−−−−−√=100−−−√=10m

Hence the displacement is equal to 10m.

We will also solve such a question by using vector method,

Let the east direction to be i^ and north direction bej^.

Thus displacement of the man S→=8i^+6j^

And we know that the method to how to take the magnitude of the vector quantity we take mod of it for the magnitude.

So, magnitude of displacement ∣∣∣S→∣∣∣=82+62−−−−−−√=64+36−−−−−−√=10m