The document discusses the derivation of position, velocity, and acceleration vectors for a particle moving in a plane when described using a rotating reference frame. It shows that the position vector in the rotating frame is simply the particle's radius vector. The velocity vector has components of radial velocity and tangential velocity due to rotation. Similarly, the acceleration vector has radial and tangential acceleration components as well as a centrifugal acceleration term. These relationships are obtained through rotation of axes transformations.