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

Question

A body moves 6 m north, 8 m east and 10 m vertically upwards, the resultant displacement from its initial position is (A) 10√2 m (B) 10 m (C) (10/√2) m (D) 20 m

Tardigrade Admin · Accepted Answer

The situation is as shown in the figure <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/70d0ba2cb41efd8ae7a998651a70b187-.jpeg" /> OC=√OA2+AB2+BC2 =√62+82+102 =10√2 m

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

$102 m$

$10 m$

$\frac{10}{2} m$

$20 m$

The situation is as shown in the figure

$OC = O A^{2} + A B^{2} + B C^{2}$
$= 6^{2} + 8^{2} + 1 0^{2}$
$= 102 m$

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

102​m

10m

2​10​m

20m