During a $4\mathrm{.}7$ s time interval, a flywheel with a constant angular acceleration turns through $374$ radians and acquires an angular velocity of $106$ rad$/$s$.($Assume the flywheel is rotating in the positive direction. Indicate the direction with the signs of your answers.$).($a$)$What is the angular velocity $($in rad$/$s$)$ at the beginning of the $4\mathrm{.}7$ s$?($b$)$What is the angular acceleration of the flywheel $($in rad$/$s$^2)?$