  The quantum analogue of Galileo's leaning tower experiment is revisited using
wave packets evolving under the gravitational potential. We first calculate the
position detection probabilities for particles projected upwards against
gravity around the classical turning point and also around the point of initial
projection, which exhibit mass dependence at both these points. We then compute
the mean arrival time of freely falling particles using the quantum probability
current, which also turns out to be mass dependent. The mass dependence of both
the position detection probabilities and the mean arrival time vanish in the
limit of large mass. Thus, compatibility between the weak equivalence principle
and quantum mechanics is recovered in the macroscopic limit of the latter.
