Which statement about distance and displacement is correct?

distance does not take direction of motion into account, but displacement does.

displacement does take direction of motion into account but, but distance does.

both distance and displacement must take direction of motion into account.

Distance does not take direction of motion into account, but displacement does.

Explanation:

Distance is said to be how much ground an object covers during motion. Distance is a scalar quantity. Distance has magnitude but no direction. It only concerns how much ground an object covers without considering the start or end points. For example a person covering a distance from point A to B can be computed without considering it starting and ending point. The distance from A to B can be computed as 100 meters.The change in position is not considered, only the distance it covered(100 meters)

While

Displacement is the change in position of an object. Displacement is a vector quantity as it incorporates both direction and magnitude. Displacement considers the starting and ending points of an object in motion.  Example a person moving from point A to B, the change in position from point A to B shows their is a displacement.