A block$-$spring system consists of a spring with constant k $=485$ N$/$m attached to a $3\mathrm{.}00$ kg block on a frictionless surface. The block is pulled $5\mathrm{.}70$ cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration?

HINT

$($a$)$

amplitude $($in m$)$

m

$($b$)$

angular frequency $($in rad$/$s$)$

rad$/$s

$($c$)$

frequency $($in Hz$)$

Hz

$($d$)$

period $($in s$)$

s

$($e$)$

maximum velocity $($in m$/$s$)$

m$/$s

$($f$)$

maximum acceleration $($in m$/$s$2)$

m$/$s$2$