  We use a sample of 384 million BBbar events collected with the Babar detector
at the PEP-II e+e- collider to study angular distributions in the rare decays B
-> K* l+l-, where l+l- is either e+e- or mu+mu-. For low dilepton invariant
masses, m(l+l-)<2.5 GeV/c^2, we measure a lepton forward-backward asymmetry
AFB=0.24 (+0.18,-0.23) +/- 0.05 and K* longitudinal polarization FL=0.35 +/-
0.16 +/- 0.04$. For m(l+l-)>3.2$ GeV/c^2, we measure AFB=0.76 (+0.52,-0.32) +/-
0.07 FL=0.71 (+0.20,-0.22) +/- 0.04.
