 # A body moves 6m north,8m east and 10m vertically upwards ,the resultant displacement of body from its initial position is?

Math

## Question

A body moves 6m north,8m east and 10m vertically upwards ,the resultant displacement of body from its initial position is?

• ### 1. User Answers hardhik1

the resultant displacement of the body from the initial position is 8 root(2)

### GIVEN :-

A boy move 6 m north 8 m east and 10 m vertically upwards.

### TO FIND :-

The resultant displacement from the initial position.

### PRE-REQUISITE :-

Displacement is the shortest length between the initial position and the final position.

OR

Displacement is the change in position vector.

### SOLUTION :-

If a body moves 6 m North, 8 m East and 10 m vertically upwards then its resultant displacement from initial position will be in the form of a cuboid with length 6 m,  breadth 8 m and height 10 m.

And the resultant displacement would be the diagonal of this cuboid.

So, the diagonal of a cuboid :-

√(6²+8²+10²)

= √200

= √(100 × 2)

### = 10√2

∴ So, the displacement of the boy from his initial position is 10√2 units.$$\rule{300}{2}$$