A simple harmonic oscillator consists of a block of mass $4\mathrm{.}80kg$ attached to a spring of spring constant $200\frac{N}{m}.$ When $t=3\mathrm{.}00s,$ the

position and velocity of the block are vec$(x)=+0\mathrm{.}129m$ and vec$(v)=+3\mathrm{.}415\frac{m}{s}.$

$($a$)$ What is the amplitude of the oscillations?

m

$($b$)$ What was the position of the mass at $t=0s?($Indicate the direction with the sign of your answer.$)$

$m$

$($c$)$ What was the velocity of the mass at $t=0s?($Indicate the direction with the sign of your answer.$)$

$\frac{m}{s}$