Recent simulations of plasmas with pressures and temperatures typical of the solar corona and transition region have shown that, under certain conditions, a cold, dense plasma can exist for an extended period of time without evaporating in a hot tenuous plasma. This cold material can move if subjected to externally imposed forces. EUV spectroscopic observations of the Sun recently have revealed jets or bullets of cool, dense plasma (T e ~ 10 5 K, n e ~ 10 10 cm-3), with lifetimes of order 60 s, which accelerate through the corona at velocities of 50 to 400 km s-1. We present here the results of computer simulations of these jets, with particular emphasis on the following aspects : the sensitivity of the induced acceleration to the form in which energy is put into the system ; a comparison between the observed and predicted physical characteristics of the high-velocity bullets; and the potential contribution of the bullets to the mass and energy balance of the solar corona. We have found that the velocity and temperature evolution of the bullets can be modeled successfully by assuming energy input in the form of an external force, pushing continuously on the ejected material. The physical characteristics of the model bullets and the energy input required to reproduce the observations lead to the conclusion that the bullets may comprise a significant fraction of the coronal mass flux but constitute a negligible component of the coronal energy budget.