General results presented in fictitious forces are applied to observations of a moving particle as seen from several specific non-inertial frames. For example, a local frame (one tied to the moving particle so it appears stationary), and a co-rotating frame (one with an arbitrarily located but fixed axis and a rate of rotation that makes the particle appear to have only radial motion and zero azimuthal motion). With this, the Lagrangian approach to fictitious forces is introduced.