In this work the problem of the scattering of a relatively slow Schrodinger's particle from a Schwarzschild black hole in the far zone (i.e. for $r \gg r_s$) has been considered. A calculation of the scattering amplitude corresponding to a low energy and $k$-independent s-wave value has been found and equal to one-half the Schwarzschild radius ($\frac{1}{2} r_s$) and a further calculation of the corresponding scattering length and phase-shift for the same zone limit has also been considered.