Question

A child walks 5 meters north,then 4 meters east and finally 2 meters south. What is the magnitude of resultant displacement of the child after the entire walk?

a. 1m b. 3m c. 5m d. 11m

Answer 1

Its 3m since that's the distance from the point where they started to the point where they end up.

Answer 2

The magnitude of resultant displacement of the child after the entire walk is 5 m.

(c) is correct option.

Step-by-step explanation:

Given that,

A child walks 5 meters north,then 4 meters east and finally 2 meters south.

According to figure,

Here, EB =CD

So, AE = AB-EB

AE = 5-2 = 3 meters

We need to calculate the magnitude of resultant displacement of the child after the entire walk

Using Pythagorean theorem

`AD=√(AE^2+ED^2)`

Put the value into the formula

`AD=√(3^2+4^2)`

`AD =5\ meters`

Hence, The magnitude of resultant displacement of the child after the entire walk is 5 m.