Question

a body moves 4 kilometre along north and then 2 kilometre to East. find the total distance and the displacement covered.

Answer 1

Answer:

Distance = 6 km

Displacement =√20km

Explanation:

Given :

• Body moves 4 kilometres towards North direction

• Body moves 2 kilometres towards East direction

To find :

• Distance travelled by the body

• Displacement travelled by the body

Distance = 4km+2km

Distance = 6 km

Displacement is the shortest distance covered by a body

Using pythogiras theorem:

Displacement²=2²+4²

Displacement²=4+16

Displacement²=20

Displacement= √20

The distance is equal to 6km and displacement is equal to √20 km

Answer 2

Answer :

Given that a body moves 4 km towards North and then 2 km towards East.

We have to find total distance and displacement covered.

From the attachment we see that, 4 km towards North and then 2 km towards East.

→ Total distance = AB + BC

→ Total distance = 4 + 2

→ Total distance = 6 km

∴ Total distance = 6 km.

Now again,

As the displacement is shortest distance b/w two different points, so displacement will be equal to AC.

Using Pythagoras theorem :

→ AC² = AB² + BC²

Substituting values,

→ AC² = 4² + 2²

→ AC² = 16 + 4

→ AC² = 20

→ AC = √20

→ AC = 4.47 km.

∴ Displacement covered by body = 4.47 km.