  In this article, we determine two point distortion theorem and sharp
coefficient estimates for the families of close-to-convex harmonic mappings
whose analytic part is a convex function of order $\alpha$. By making use of
these results, we determine the radius of univalence of sections of these
families in terms of zeros of certain equation. Lower bound for the radius of
univalence has been obtained explicitly for the case $\alpha = 1/2$. Comparison
of radius of univalence of the sections have been shown by providing a table of
numerical estimates for the special choices of $\alpha$.
