machine part is vibrating along the x$-$axis in simple harmonic motion with a period of $0\mathrm{.}27$ s

and a range $($from the maximum in one direction to the maximum in the other$)$ of $3\mathrm{.}0$ cm$.$ At time

t $=0$ it is at its central position and moving in the $+$x direction. What is its position when t $=55$ s$?$

A$)$ x $=-1\mathrm{.}3$ cm

B$)$ x $=-0\mathrm{.}43$ cm

C$)$ x $=-0\mathrm{.}51$ cm

D$)$ x $=+0\mathrm{.}51$ cm

E$)$ x $=-1\mathrm{.}4$ cm