The angle an airplane propeller makes with the horizontal as a function of time is given by θ = (125 rad/s)t + (42.5 rad/s2)t2.

(a) Estimate the instantaneous angular velocity at t = 0.00 by calculating the average angular velocity from t = 0.00 to t = 0.010 s.

(b) Estimate the instantaneous angular velocity at t = 1.000 s by calculating the average angular velocity from t = 1.000 s to t = 1.010 s.

(c) Estimate the instantaneous angular velocity at t = 2.000 s by calculating the average angular velocity from t = 2.000 s to t = 2.010 s.

(d) Based on your results from parts (a), (b), and (c), is the angular acceleration of the propeller positive, negative, or zero? Explain.

(e) Calculate the average angular acceleration from t = 0.00 to t = 1.00 s and from t = 1.00 s to t = 2.00 s.