Final Answer:
Distance and displacement can be equal in specific scenarios, but they are not always the same. Therefore the correct option is B. Sometimes equal
Step-by-step explanation:
Distance and displacement refer to motion measurements, yet they differ in their definitions and meanings. Distance is the actual length of the path traveled, while displacement is the shortest distance between the initial and final positions, involving direction.
These two quantities can be equal under specific conditions, typically when motion happens along a straight line or when the path taken is direct without any change in direction. In such cases, when an object moves in a straight line from point A to point B and then back to point A, the distance traveled and the displacement can be equal since the displacement is the total length of the path from start to finish.
However, in most scenarios involving changes in direction or complex paths, distance and displacement won't be equal. For instance, if an object moves in a circular path or changes direction multiple times, the distance traveled will be greater than the displacement since distance accounts for the entire path covered, while displacement is the shortest straight-line distance between the initial and final points, irrespective of the path taken.
Therefore the correct option is B. Sometimes equal