$7$ CD player disk starts from rest and has a positive angular acceleration of $2\mathrm{.}10$ rad$/$s $($speeds up in the Counterclockwise direction$),$ for $30\mathrm{.}0$ seconds. Then it continues rotating for $150$ 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 $40\mathrm{.}0$ seconds.a$)$ How many radians did the CD spin in total?rad.b$)$ How many seconds did this all take?tS$.$c$)$ What was the average angular velocity?Wavgrad$/$sd$)$ How many revolutions did the CD spin?$0=$revolutions.