\(\psi_n\) water drops that are to pass through, re-bounce at lower depths and resurfaces. \(\psi_n\) water drops that are ejected tangentially, moves away radially around the point of impact. And \(\psi_d\) move up and down in simple harmonic motion, without lateral displacement at the point of impact.
The expression for \(v_{max}\) does allow for water drops that bounce immediately,
\(v_{ { max } }=\pm\sqrt{\cfrac { 1 }{ m } \cfrac { \psi _{ n } }{ \psi _{ max } }\left\{ \psi _{ n }-\psi _{ max } \right\} e^{ \psi _{ max } }\left( { e^{ 2\psi _{ max } }-1 } \right) ^{ 1/2 }}\)
where the negative root moves the ejected particle back along the direction of impact.
