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We discuss how one can determine the average kinetic energy of the heavy quark inside heavy mesons from differential distributions in decays. A new, so-called third, sum rule for the transition is derived in the small velocity (SV) limit. Using this sum rule and the existing data on the momentum dependence in the transition (the slope of the Isgur-Wise function) we obtain a new lower bound on the parameter $\mu_\pi^2 = (2M_B)^{-1}\langle B |\bar b (i\vec{D})^2 b |B\rangle $ proportional to the average kinetic energy of quark inside meson. The existing data suggest ~GeV and (from the ``optical’’ sum rule) MeV, albeit with some numerical uncertainties.

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