A mass is oscillating on a spring on a smooth, horizontal surface. The maximum speed of the mass is $1\mathrm{.}02$ m$/$s and the maximum magnitude of acceleration is $6\mathrm{.}05$ m$/$s$\mathrm{²}.$ How long $($in seconds$)$ does it take for the mass to move from the position where it has maximum speed to position where it has maximum magnitude of acceleration?