Question

A particle has a displacement of $12m$ towards east and $5m$ towards north then $6m$ vertically upward. The sum of this displacement is

• A. $12m$
• B. $10.04m$
• C. $14.31m$
• D. None of these

Answer 1

The correct option is C

$14.31m$

The explanation for the correct option(s):

C: $14.31m$

A particle has a displacement of $12m$ towards east and $5m$ towards north then $6m$ vertically upward

The resultant displacement

$$\begin{gathered} R=\sqrt{5^2+6^2+{12}^2} \\ R=\sqrt{205} \\ R=14.31m \end{gathered}$$

Hence, The sum of this displacement is $14.31m$.

Hence, option C is correct.