The midpoint M of a guitar string is pulled a distance d $=1\mathrm{.}3$ mm from equilibrium and released. Point M is observed to undergo simple harmonic motion with a frequency f $=240$ Hz$.$

A$.)$ Calculate the angular frequency of oscillation in radians per second.

B$.)$ Assume the displacement of point M from equilibrium as a function of time t after release is of the form x$($t$)=$ xmax cos$($t $+).$ What is xmax in meters?

C$.)$ After the string is first released, how many seconds will elapse before it first reaches its equilibrium position?

D$.)$ Calculate the maximum speed of point M during its oscillation vmax in meters per second.

F$.)$ Calculate the magnitude of the maximum acceleration experienced by point M during its oscillation amax in meters per square second.

G$.)$ Select the position$($s$)$ at which the acceleration of point M is maximized.