String is wrapped around the periphery of an $8\mathrm{.}00-cm$ radius cylinder, free to rotate on its axis. The string is pulled straight out at a constant rate of $10\mathrm{.}0c\frac{m}{s}$ and does not slip on the cylinder. As each small segment of string leaves the cylinder, the magnitude of the segment's acceleration changes by

$0\mathrm{.}100\frac{m}{s^2}$

$0\mathrm{.}020\frac{m}{s^2}$

$0\mathrm{.}125\frac{m}{s^2}$

$0\mathrm{.}200\frac{m}{s^2}$

$0\mathrm{.}0100\frac{m}{s^2}$