MCQ
A ball is spun with angular acceleration $\alpha=6 t ^{2}-2 t$ where $t$ is in second and $\alpha$ is in $rads$ $^{-2}$. At $t=0$, the ball has angular velocity of $10\,rads$ $^{-1}$ and angular position of $4\,rad$. The most appropriate expression for the angular position of the ball is
- A$\frac{3}{2} t^{4}-t^{2}+10 t$
- ✓$\frac{t^{4}}{2}-\frac{t^{3}}{3}+10 t+4$
- C$\frac{2 t ^{4}}{3}-\frac{ t ^{3}}{6}+10 t +12$
- D$2 t^{4}-\frac{t^{3}}{2}+5 t+4$