Kinematics Question 349

Question: A person moves 30 m north and then 20 m towards east and finally $ 30\sqrt{2} $ m south-west direction. The displacement of the person from the origin

Options:

A) 10 m along north

B) 10 m along south

C) 10 m along west

D) Zero

Show Answer

Answer:

Correct Answer: C

Solution:

$ \overline{OA}=0\overset\frown{i}+30\overset\frown{j}, $

$ \overrightarrow{AB}=20\overset\frown{i}+0\overset\frown{j}, $

$ \overline{BC}=-30\sqrt{2}\cos 45{}^\circ \overset\frown{i}-30\sqrt{2}\sin 45{}^\circ \overset\frown{j} $

$ =-30\overset\frown{i}-30\overset\frown{j} $
$ \therefore \text{Net desplacement,} $

$ \text{OC=OA+AB+BC=}-10\overset\frown{i}+0\overset\frown{j} \text{ OC }\text{ =10m} $



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक