A spring with spring constant $\backslash (16\mathrm{.}32\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ hangs from the ceiling. A $436$ g ball is attached to the spring and allowed to come to rest. It is then pulled down $7\mathrm{.}24$ cm and released. What is the time constant if the ball's amplitude has decreased to $2\mathrm{.}69$ cm after $35$ oscillations?

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