The angular acceleration of a wheel, as a function of time, is $=5\mathrm{.}0$t$^28\mathrm{.}5$t$,$ where is in rad$/$s$^2$ and t in seconds. Determine a formula for the angular position $,$ as a function of time. Express your answer in terms of t$.$ Evaluate at t $=1\mathrm{.}0$ s $.$

Express your answer to two significant figures and include the appropriate units. Evaluate at t $=1\mathrm{.}0$ s $.$

Express your answer to two significant figures and include the appropriate units.