An object is performing simple harmonic motion. The maximum value of the object's speed is $2\mathrm{.}37$ m$/$s and the maximum value of its acceleration is $6\mathrm{.}71$ m$/$s$2.$ Determine the amplitude of the motion.

$($in m$)$

A: $3\mathrm{.}8210-1$B: $4\mathrm{.}4710-1$C: $5\mathrm{.}2310-1$D: $6\mathrm{.}1210-1$E: $7\mathrm{.}1510-1$F: $8\mathrm{.}3710-1$G: $9\mathrm{.}7910-1$H: $1\mathrm{.}15$

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Determine the angular frequency of the motion.

$($in $1/$s$)$

A: $1\mathrm{.}29$B: $1\mathrm{.}51$C: $1\mathrm{.}77$D: $2\mathrm{.}07$E: $2\mathrm{.}42$F: $2\mathrm{.}83$G: $3\mathrm{.}31$H: $3\mathrm{.}88$

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