question_answer

A person moves 30 m north and then 20 m towards east and finally \[4\text{ }m/{{s}^{2}}\]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

Correct Answer: C

Solution :

                Taking the starting point as 0, we have 30 m north OA, 20 m east AB, and finally\[30\sqrt{2}\text{ }m\] \[(S-E)BD\]. From\[\Delta CAB,\] \[AC=20\text{ }m,\text{ }OC=10\text{ }m\] In\[\Delta OCD,\] \[OD=OC,\text{ }OD=10m\] Hence, final displacement from origin is 10 m.