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

1. User Answers hardhik1
the resultant displacement of the body from the initial position is 8 root(2) 
2. User Answers AdorableMe
[tex]\rule{300}{2}[/tex]
GIVEN :
A boy move 6 m north 8 m east and 10 m vertically upwards.
TO FIND :
The resultant displacement from the initial position.
PREREQUISITE :
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.[tex]\rule{300}{2}[/tex]