A horizontal spring stretches $30$ cm when a force of $100$ N is applied. Melvin attaches a $2\mathrm{.}0$ kg block of ice to

the spring $($at the equilibrium position$)$ and kicks it$,$ at time t $=0,$ in the forward direction, imparting an initial

speed of $3\mathrm{.}0$ m$/$s$.$ A$)$ Write an equation describing the position of the block as a function of time. B$)$ What is

the maximum acceleration of the block $($Not counting during the kick$)?$ C$)$ How long does the mass require to

move from A$/4$ to A$,$ where A is the amplitude of the oscillation?