HW$1\mathrm{.}8.$ Displacement From Equilibrium part $3$

The displacement of a mass from its equilibrium position as it oscillates on a horizontal spring satisfies the equation $x(t)=$Acos$(t+{}_0)$

At $t=0s,$ what are the two possible values of the $x$ components of the velocity of the mass $(v_x)$ in terms of $v_{\text{m}\text{a}\text{x}}$ that are found when $x=-\frac{A}{2},$ and which value of ${}_0$ does each belong to$?$

Part $1$

Enter the value of $v_x$ when ${}_0$ takes the larger of the two values you found in part $1$

$\frac{v_x}{v_{\text{m}\text{a}\text{x}}}=$ symbolic expression

Part $2$

Enter the value of $v_x$ when ${}_0$ takes the smaller of the two values you found in part $1$

$\frac{}{v_{}}$