Q. A person moves 30 m north and then 20 m towards east and finally $30\sqrt{2}m$ in south-west direction. The displacement of the person from the origin will be
A) 10 m along north
B) 10 m along south
C) 10 m along west
D) Zero
Explanation
(c) Taking the starting point as $O,$ we have 30 m north $OA,$ 20 m east $AB,$ and finally $30\sqrt{2}\ m(S - W)BD.$
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From $\mathrm{\Delta}\ CAB,$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ AC = 20\ m,\ OC = 10\ m$
In $\mathrm{\Delta}\ OCD,$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ OD = OC,\ OD = 10\ m$
Hence, final displacement from origin is 10 m.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.