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Question

Question: A particle has displacement of 12 m towards east and 5 m towards north then 6 m vertically upward. T...

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

A

12

B

10.04 m

C

14.31 m

D

None of these

Answer

14.31 m

Explanation

Solution

R=122+52+62=144+25+36=205=14.316mumR = \sqrt{12^{2} + 5^{2} + 6^{2}} ⥂ = ⥂ \sqrt{144 + 25 + 36} ⥂ = ⥂ \sqrt{205} = 14.31\mspace{6mu} m