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