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Question

Physics Question on Motion in a straight line

A particle has a displacement of 12m12\,m towards east and 5m5\,m towards north and finally 6m6\,m vertically upwards. The sum of these displacement is

A

12 m

B

10.04 m

C

14.31m

D

None of these

Answer

14.31m

Explanation

Solution

Resultant R=S1+S2+S3R = S_1 + S_2 + S_3 R=(12)2+(5)2+(6)2|R|=\sqrt{(12)^2+(5)^2+(6)^2} =144+25+36=205R=14.31cm=\sqrt{144 +25 +36 }=\sqrt{205} \Rightarrow R=14.31 cm