a body moves 6M North 8m East and 10 M vertically upwards the resultant displacement of body from its initial position is
Answers
Hey mate,, here is ur ans...
this would form a cuboidal shape with
length 6m, breadth 8m and height 10 m
the resultant displacement would be diagnol of this cuboid
√6²+8²+10²
√200
14.1421m —> resultant displacement of body.
#hope it helps
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.