Consider a spring$-$mass system on a frictionless horizontal surface. Let $k=25\frac{N}{m},$ and $m=500g.$ Assume an initial displacement of $+2\mathrm{.}0$ cm and an initial velocity of $+12\frac{cm}{s}.$

With the resulting motion described by $x(t)=$Acos$(t+),$ find the following:

a$)($angular frequency$)$

b$)($initial phase angle$)$

c$)$ A $($amplitude$)$

c$)T($oscillation period$)$