CD player disk starts from rest and has a positive angular acceleration of $3\mathrm{.}20$ rad$/$s $($speeds up in the counterclockwise direction$),$ for $47\mathrm{.}0$ seconds. Then it continues rotating for $250$ radians at a constant angular velocity. Finally, after you are done listening to the song, the CD begins to slow down to a rest, which takes $31\mathrm{.}0$ seconds.a$)$ How many radians did the CD spin in total?$0=$rad.b$)$ How many seconds did this all take?tS$.$c$)$ What was the average angular velocity?Wangrad$/$sd$)$ How many revolutions did the CD spin? $=$revolutions.