Why speed and velocity are not always equal in magnitude ?
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they are equal only if the body moves in a straight line. and not equal in other cases due to displacement
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Differentiation
Look speed is the length of the path(distance) divided by the time taken.
I.e. if you take a rope and spread it all over the place you had walked and you spent some time to spread the rope.
Let the length of the rope was 'l' and the time that you had spent be 't'.
So your speed will be l/t and the unit will be metere/second if calculated in SI system and cm/s if in CGS system.
And a caution speed can't be negative because length can't be negative.
And now velocity is the distance between the beginning point and the ending point (displacement) divided by time taken.
At the same scenario when you were spreading the rope assume you first started going to the north and then you moved backward and crossed the starting point.
So your displacement will be -l as displacement in a vector quantity.And the time will be same.
So you velocity at this case will be -l/t.
So did you understand at the same scenario one is negative and other is positive.
It can also differ of you go in a random path. Then displacement will be less than distance
At this case also speed and velocity will be different.
That's it
Hope it helped (≧∇≦)b
Look speed is the length of the path(distance) divided by the time taken.
I.e. if you take a rope and spread it all over the place you had walked and you spent some time to spread the rope.
Let the length of the rope was 'l' and the time that you had spent be 't'.
So your speed will be l/t and the unit will be metere/second if calculated in SI system and cm/s if in CGS system.
And a caution speed can't be negative because length can't be negative.
And now velocity is the distance between the beginning point and the ending point (displacement) divided by time taken.
At the same scenario when you were spreading the rope assume you first started going to the north and then you moved backward and crossed the starting point.
So your displacement will be -l as displacement in a vector quantity.And the time will be same.
So you velocity at this case will be -l/t.
So did you understand at the same scenario one is negative and other is positive.
It can also differ of you go in a random path. Then displacement will be less than distance
At this case also speed and velocity will be different.
That's it
Hope it helped (≧∇≦)b
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