A particle executes linear SHM with frequency $0\mathrm{.}29$ Hz about the point $\backslash ($ x$=\backslash )0.$ At $\backslash ($ t$=0\backslash ),$ it has displacement $\backslash ($ x$=0\mathrm{.}38\backslash$mathrm$\{$~cm$\}\backslash )$ and zero velocity. For the motion, determine the $($a$)$ period, $($b$)$ angular frequency, $($c$)$ amplitude, $($d$)$ maximum speed, $($e$)$ magnitude of the maximum acceleration, $($f$)$ displacement at $\backslash ($ t$=\backslash )3\mathrm{.}9$ s $,$ and $\backslash ((\backslash$mathrm$\{$g$\})\backslash )$ velocity at $\backslash ($ t$=3\mathrm{.}9\backslash$mathrm$\{$~s$\}\backslash ).$

$($a$)$ Number

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$($b$)$ Number

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$($c$)$ Number

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$($d$)$ Number

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$($e$)$ Number

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$($f$)$ Number

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$($g$)$ Number

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