  The discovery of Berry and Balazs in 1979 that the free-particle
Schr\"odinger equation allows a non-dispersive and accelerating Airy-packet
solution has taken the folklore of quantum mechanics by surprise. Over the
years, this intriguing class of wave packets has sparked enormous theoretical
and experimental activities in related areas of optics and atom physics. Within
the Bohmian mechanics framework, we present new features of Airy wave packet
solutions to Schr\"odinger equation with time-dependent quadratic potentials.
In particular, we provide some insights to the problem by calculating the
corresponding Bohmian trajectories. It is shown that by using general
space-time transformations, these trajectories can display a unique variety of
cases depending upon the initial position of the individual particle in the
Airy wave packet. Further, we report here a myriad of nontrivial Bohmian
trajectories associated to the Airy wave packet. These new features are worth
introducing to the subject's theoretical folklore in light of the fact that the
evolution of a quantum mechanical Airy wave packet governed by the
Schr\"odinger equation is analogous to the propagation of a finite energy Airy
beam satisfying the paraxial equation. Numerous experimental configurations of
optics and atom physics have shown that the dynamics of Airy beams depends
significantly on initial parameters and configurations of the experimental
set-up.
