A horizontal spring$-$mass system has low friction, spring stiffness $175$ N$/$m$,$ and mass $0\mathrm{.}4$ kg$.$ The system is released with an initial compression of the spring of $11$ cm and an initial speed of the mass of $3$ m$/$s$.$

$($a$)$ What is the maximum stretch during the motion?

$($b$)$ What is the maximum speed during the motion?