A particle moves through a distance of 8 m due east and then 6 m due north then magnitude of displacement is
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Answer:
the displacement is equal to 10m
Explanation:
So here the shortest distance between point AC is the line joining it.
So we will find it out by using Pythagoras theorem
I.e. AC=(AB)2+(BC)2−−−−−−−−−−−−√ now put the data in the formula we get,
⇒AC=(8)2+(6)2−−−−−−−−−√=64+36−−−−−−√=100−−−√=10m
Hence the displacement is equal to 10m.
We will also solve such a question by using vector method,
Let the east direction to be i^ and north direction bej^.
Thus displacement of the man S→=8i^+6j^
And we know that the method to how to take the magnitude of the vector quantity we take mod of it for the magnitude.
So, magnitude of displacement ∣∣∣S→∣∣∣=82+62−−−−−−√=64+36−−−−−−√=10m
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