$A$ ball is spun with angular acceleration $\alpha = 6t^2 - 2t$,where $t$ is in seconds and $\alpha$ is in $rad/s^2$. At $t = 0$,the ball has an angular velocity of $10 \ rad/s$ and an angular position of $4 \ rad$. The most appropriate expression for the angular position of the ball is:

• A
  $\frac{3}{2}t^4 - t^2 + 10t$
• B
  $\frac{t^4}{2} - \frac{t^3}{3} + 10t + 4$
• C
  $\frac{2t^4}{3} - \frac{t^3}{6} + 10t + 12$
• D
  $2t^4 - \frac{t^3}{2} + 5t + 4$