A $195$ g object is attached to a spring that has a force constant of $\backslash (73\mathrm{.}5\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash ).$ The object is pulled $9\mathrm{.}25$ cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table.

Calculate the maximum speed $\backslash ($ v$\_\{\backslash$text $\{$max $\}\}\backslash )$ of the object.

$\backslash [$

v$\_\{\backslash$max $\}=$

$\backslash ]$

Find the locations of the object when its velocity is one$-$third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative.