An object is undergoing simple harmonic motion along the x$-$axis. Its position is described as a function of time by x$($t$)=2\mathrm{.}5$ cos$(3\mathrm{.}4$t $1\mathrm{.}8),$ where x is in meters, the time, t$,$ is in seconds, and the argument of the cosine is in radians.

A$.)$ Find the amplitude of the simple harmonic motion, in meters.

B$.)$ What is the value of the angular frequency, in radians per second?

C$.)$ Determine the position of the object, in meters, at the time t $=0.$

D$.)$ What is the object$$s velocity, in meters per second, at time t $=0?$

E$.)$ Calculate the object$$s acceleration, in meters per second squared, at time t $=0.$

F$.)$ What is the magnitude of the object$$s maximum acceleration, in meters per second squared?