$1)$ Please show work clearly, no credit if work not shown even if your answer is correct.

$2)$ Each question carries $25$ points

$4)$ Points will be deducted for missing or incorrect units.

$5)$ Please write your name in the top right corner

$1)$ A wheel has an initial clockwise angular velocity of $\backslash (8\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ and slows down with a constant angular acceleration of $\backslash (3\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ).$ Determine its angular velocity after $10$ s$.$

Calculate the magnitude of the acceleration of point $\backslash ($ B $\backslash )$ at $10$ seconds.