  For Schroedinger equations with both time-independent and time-dependent Kato
potentials, we give a simple proof of the maximal speed bound. The latter
states that the probability to find the quantum system outside the ball of
radius proportional to the time lapsed decays as an inverse power of time. We
give an explicit expression for the constant of proportionality in terms of the
maximal energy available to the initial condition. For the time-independent
part of the interaction, we require neither decay at infinity nor smoothness.
