In the situation where a particle moves from point A to point B, described in two coordinate systems that are identical except for different origins, physical quantities behave differently as follows:
- Position : Different in each coordinate system because position depends on the choice of origin.
- Coordinates : Different because coordinates are values defined relative to the coordinate system's origin.
- Displacement : The same in both systems; displacement is a vector from A to B and does not depend on the choice of origin.
- Velocity : The same in both coordinate systems; velocity depends on the change in position over time and not on the absolute position.
- Distance : The same; distance is a scalar representing the length of the path traveled and is independent of origin.
- Direction : The same, assuming the coordinate axes have the same orientation; direction depends on relative positions and vectors, which are invariant under translation of origin.
In summary, quantities that depend on absolute reference points (position, coordinates) vary with the origin, while those dependent on relative positions or changes (displacement, velocity, distance, direction) remain the same between systems differing only by their origins.