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We show that the Heisenberg operator $\\hat x(t)$ of the position operator converges to the asymptotic velocity operator $\\hat v_+$ so that \\[ \\mbox{s-}\\lim_{t \\to \\infty} {\\rm exp}\\left( i \\xi \\frac{\\hat x(t)}{t} \\right)\n  = \\Pi_{\\rm p}(U) + {\\rm exp}(i \\xi \\hat v_+) \\Pi_{\\rm ac}(U) \\] provided that $U$ has no singular continuous spectrum. 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