A mass$-$spring system $(m=23kg,k=15\frac{N}{m}$ is left to freely vibrate.

a$)$ Using following initial conditions: $x_0=0\mathrm{.}3m$&$v_0=0\mathrm{.}2\frac{m}{s}$ find the vibration response $x(t)$

$(2$ marks$)$

b$)$ Represent your answer as Asin$(t+).(2$ marks$)$

c$)$ Find velocity and acceleration. $(2$ marks$)$

d$)$ Find maximum velocity and acceleration. $(2$ marks$)$