A $0\mathrm{.}02$ kg object is launched vertically by using a spring with $k=105\frac{N}{m}.$ The spring is compressed by Dy $=10cm$ from the equilibrium position of the system spring and mass, see figure. Determine the maximum height reached by the object. $($Neglect friction and consider $g=9\mathrm{.}80\frac{m}{s^2}.)$Select one:a$.5\mathrm{.}36$ mb$.2\mathrm{.}78$ mc$.6\mathrm{.}84$ md$.9\mathrm{.}46$ m