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Question


A particle moves 3 m north, then 4 m east and finally 6 m south. What is the distance travelled and the displacement of the particle?


Options:
A .   The distance travelled is 13 m.
B .   The distance travelled is 12 m.
C .   The displacement is 13 m.
D .   The displacement is 5 m.
Answer: Option A
:
A and D

A Particle Moves 3 M North, Then 4 M East and Finally 6 M S...
Let the particle start from A and finally reach B as shown. Distance is the length of the actual path taken by it.
In this case, 
distance = 3 m + 4 m + 6 m = 13 m
Displacement is the shortest distance between the initial and final position.
Here, displacement = AB
Using Pythagoras theorem,
AB =(BC2+AC2)
=(32+42) m=5 m.



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