Summary. A recent interpretation of the superluminal expansion of milliarcsec radio sources provides a direct way of measuring distances to galaxies and quasars independently of their redshifts. The distances are cosmological, implying that the redshifts are also. An adaptation of the method is used for objects with high redshifts up to z = 2, with the aim of seeing the gravitational deceleration in the Hubble expansion since these epochs. Such measurements weigh the Universe by detecting its mean gravity. It may be a year or two until the uncertain expansion rates found here are confirmed by proper measurements. Present results are ambiguous; they are not inconsistent with an open umversewithq0=0.l,andamassofl.lx u o = l,butno value of q0 can yet be eliminated with certainty.