A boy move 6m north 8m east and 10m verticullyupward what is the ruesltent displacement for initalposition
Answers
A boy most 6 metres towards north then moves 8 metres towards east and finally 10 metres vertically upwards.
We have to find out the resultant displacement from the initial position.
Let's define displacement :
Displacement is the shortest length between the starting and the stopping point. Its a vector having both magnitude and direction.
Calculation:
Since all the directions are mutually perpendicular to one another so we can find out displacement as follows :
So final answer will be :
Displacement is 10√2 m.
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.