Law of Radioactive Decay and Motion of Emitted Decay Particle

All bodies are in a state of no motion, linear, vibratory or rotational motion singly or in some combination. Therefore, if a particle is emitted from a decaying nucleus, it will move linearly, rotate, vibrate or have no motion singly or in some combination. If k is a vibrational force constant, $x_0$ the amplitude of vibratation, $1/2I\omega^2$ the kinetic energy of rotation and $1/2mv^2$ the linear kinetic energy, P is parent nucleus, D is daughter nucleus and p is the emitted decay particle the equation for this law is $M_Pc^2 + 1/2M_Pv_P^2 +1/2I\omega_P^2 + {1/2k_Px_P}_0^2 = M_Dc^2 + 1/2M_Dv_D^2 +1/2I\omega^2_D + 1/2k_Dx_{0_D^2} + m_pc^2 + 1/2m_pv_p^2 + 1/2I\omega_p^2 + {1/2k_px_0}_p^2$.