Question

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

• A. $10 \sqrt { 2 } \mathrm {~m}$
• B. 10 m
• C. $\frac { 10 } { \sqrt { 2 } } \mathrm {~m}$
• D. 20 m

Answer 1

Answer: (A)

$10 \sqrt { 2 } \mathrm {~m}$

Answer 2

The situations is as shown in the figure

$\mathrm { OC } = \sqrt { \mathrm { OA } ^ { 2 } + \mathrm { AB } ^ { 2 } + \mathrm { BC } ^ { 2 } }$

$= \sqrt { 6 ^ { 2 } + 8 ^ { 2 } + 10 ^ { 2 } }$

$= 10 \sqrt { 3 }$