  We characterize a transition from normal to ballistic diffusion in a bouncing
ball dynamics. The system is composed of a particle, or an ensemble of
non-interacting particles, experiencing elastic collisions with a heavy and
periodically moving wall under the influence of a constant gravitational field.
The dynamics lead to a mixed phase space where chaotic orbits have a free path
to move along the velocity axis, presenting a normal diffusion behavior.
Depending on the control parameter, one can observe the presence of featured
resonances, known as accelerator modes, that lead to a ballistic growth of
velocity. Through statistical and numerical analysis of the velocity of the
particle, we are able to characterize a transition between the two regimes,
where transport properties were used to characterize the scenario of the
ballistic regime. Also, in an analysis of the probability of an orbit to reach
an accelerator mode as a function of the velocity, we observe a competition
between the normal and ballistic transport in the mid range velocity.
