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The angular position of a point on the rim of a rotating wheel is given by...

The angular position of a point on the rim of a rotating wheel is given by θ = 1.82t - 5.66t2 + 3.63t3, where θ is in radians and t is in seconds. What are the angular velocities at (a) t = 1.17 s and (b) t = 7.69 s? (c) What is the average angular acceleration for the time interval that begins at t = 1.17 s and ends at t = 7.69 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval?

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