A $45\mathrm{.}0-$cm diameter disk rotates with a constant angular acceleration of $2\mathrm{.}50$ rad$/$s$2.$ It starts from rest at t $50,$ and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of $57\mathrm{.}3$ with the positive x $-$ axis at this time. At t $52\mathrm{.}30$ s$,$ find $($a$)$ the angular speed of the wheel, $($b$)$ the linear speed and tangential acceleration of P$,$ and $($c$)$ the position of P $($in degrees, with respect to the positive x $-$ axis$).$