Study the motion of a ball rolling on a straight line as shown here.
(i) Find its displacement and distance covered when it rolls from A to B and then to C. (ii) finally comes back to A.
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Here, the ball starts from A.
Now, first case, it moves from A to B
Then, displacement = length of AB = 10m
And, distance = distance covered by moving from A to B, that is 10 m.
So, in first case, from A to B, distance = displacement = 10m.
Now, in second case, it moves from A to B and then to C.
So, we have, displacement = length of final position - initial position = length of AC.
Now, length of AC = AB - BC
So, length of AC = 10 - 2 = 8 m
Hence, displacement = 8 m
Now, distance = distance actually travelled from A to B and then to C, so it would be 10 + 2 = 12m.
Now, In third case, it moves back to reference point.
So, displacement = Final point - Initial point.
Here, since it moves back to the initial point, it's final point would be the same as initial point. Hence, here displacement = Final point - final point = O m.
And, distance = Length travelled from A to B and then B to A
Distance = 10 + 10 = 20m
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