3. The angle that a wheel rotates as a function oftime \"t\" is given by θ (t) = 8.5–15.0t ^ 2 + 1.6t ^ 4 where θ is inradians and \"t\" in seconds. (a) Determine an expression for theinstantaneous angular velocity ω. (b) Determine an expression forthe instantaneous angular acceleration α. (c) Evaluate ω and α at t= 3.0s. (d) What is the average angular velocity at t = 2.0s and t= 3.0s? (e) What is the average angular acceleration at t = 2.0 sand t = 3.0 s?
