A particle executes linear SHM with frequency $0\mathrm{.}24$ Hz about the point x $=$ O$.$ At t $=$ O$,$ it has displacement x $=0\mathrm{.}35$ cm and zero velocity.

For the motion, determine the $($a$)$ period, $($b$)$ angular frequency, $($c$)$ amplitude, $($d$)$ maximum speed, $($e$)$ magnitude of the maximum

acceleration, $($f$)$ displacement at t $=2\mathrm{.}8$ s$,$ and $($g$)$ velocity at t $=2\mathrm{.}8$ s$.$