Question

A person travelled a distance of 3 km along a straight line in the South direction, then he travelled 2 km in North direction and then 5 km in East direction, the magnitude of the displacement of this person would be
a)√26
b)√13
c)7 km
d)0 km.
hint: ans is (a) √26
explain​

Answer 1

Explanation:

IA person walked 3 km in north, 2km west and 5 km in South. Then, the map becomes like:

Then now we have .

P=5–3=2km b=2km

So H²=P²+B²,

H²= 4+4

H²=8

Or H=√8

The displacement travelled by person is 2√2 km or 2.82km