Question

A person travels a distance of 4 m towards east, then 3 m towards south. Displacement of the person is

Answer 1

Answer: 5 m

Explanation:

Draw a hypotenuse and solve with Pythagorean’s theorm

4^2+3^2=x^2

X=5 m

Answer 2

Answer:

The displacement is 5m.

Explanation:

Given:

To the east = 4 m

To the south = 3 m

To find :

The displacement

Solution :

Displacement is the shortest distance travelled from the initial point to the final point.

Distance to east (x) = 4 m

Distance to the south (y) = 3 m

Displacement =

★ $\boxed{\sf{s =\sqrt{x^{2}+y^{2}}}}$

⇒ s = $\sf{\sqrt{4^{2}+3^{2}}}$

⇒ s = $\sf{\sqrt{16+9}}$

⇒ s = $\sf{\sqrt{25}}$

⇒ s = 5

Displacement = 5 m

Therefore, the displacement is 5m.