Question

A boy starts from a point, goes 10 m due east, turns towards 30° NE (North of East) and moves 20sqrt3 m, then turns to his right and moves 20m and stops. Find the resultant displacement and its magnitude.

Answer 1

Explanation:

From above fig it is clear that net dispacement is AB. And AOB is a rightangked triangle with right angle at O. So to find AB, we apply pythagoras theorem,

(AB)^2=(AO)^2+(OB)^2

(AB)^2=100+400

(AB)^2=500

AB=10×2.2369

AB=22.36

So the net displacement is 22.36m