A $0\mathrm{.}30$ kg object is attached to the end of an ideal horizontal spring that has a spring constant of $150\frac{N}{m}.$ The simple harmonic motion that occurs has a maxim um speed of $3\mathrm{.}3\frac{m}{s}.$ Determine the amplitude A of the motion. Explain your answer.

$($a$)13\mathrm{.}6$ m

$($c$)0\mathrm{.}990$ m

$($e$)0\mathrm{.}148$ m

$($b$)45\mathrm{.}5$ m

$($d$)73\mathrm{.}8$ m