A body goes 20 km north and then 10 km due east. The displacement of body from Us starting point is:

Question

A body goes 20 km north and then 10 km due east. The displacement of body from Us starting point is: (A) 30 km (B) 25.2 km (C) 22.36 km (D) 10 km

Tardigrade Admin · Accepted Answer

Body goes 20 km due north along OA and then 10 km due east along AB <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/6696ceef44ac887b301e4c80a02d508f-.png" /> Net displacement =√(O A)2+(A B)2 =√(20)2+(10)2 =√400+100 =10 √5 km =22.36 km

Q. A body goes $20 km$ north and then $10 km$ due east. The displacement of body from Us starting point is:

30 km

25.2 km

22.36 km

10 km

Body goes $20 km$ due north along $O A$ and then $10 km$ due east along $A B$

Net displacement $= (O A)^{2} + (A B)^{2}$
$= (20)^{2} + (10)^{2}$
$= 400 + 100$
$= 105 km = 22.36 km$

Q. A body goes 20km north and then 10km due east. The displacement of body from Us starting point is: