a person moves 8km in a straight line towards east and then move 6km to the south find distance and displacement
Answers
Answer:distance =8+6
=14km
Displacement = here we have to use pythagoras theorem where
Hypo^2=side1^2+side 2 ^2
So displacement ^2=8^2+6^2
=64+36=100=10^2
So square and square will cancel and answer is 10km
Explanation:
Answer
- Distance = 14 km
- Displacement = 10 km
Given
- A person moves 8 km in a straight line towards east and then move 6 km to the south
To Find
- Distance
- Displacement
Diagram
- - - - - - - - - - - - - - > ( 8 km )
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^ ( 6 km )
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Concept Used
Distance : It is defined as how much ground occupied by an object
Displacement : It is defined as the shortest distance b/w two points i.e., initial and final points .
Solution
Distance = 8 kn towards east + 6 km towards south
⇒ Distance = 8 km + 6 km
⇒ Distance , D = 14 km
From diagram ,
Displacement will be find by using Pythagoras theorem .
Let displacement be d .
⇒ d² = 8² + 6²
⇒ d² = 64 + 36
⇒ d² = 100
⇒ d = 10 km
So ,
Distance , D = 14 km
Displacement , d = 10 km