derive the relation between angular velocity and time

Which of the following expressions gives the average angular velocity?

The relation between the angle of rotation (θ) in radians and time (t) in secondsof a rotating body is given by the equation. θ = 2t3 + 3t2 + 10. Interpret the angularvelocity after 4 seconds.

The angular velocity of a particle is given by ω = 1.5 t – 3t2 + 2, the time when its angular acceleration becomes zero

Which of the following expressions gives the instantaneous angular acceleration?

The equation below shows the mathematical representation of the average angular velocity of an object in rotational or circular motion.  Match each term in the equation with the correct description from this list:   (1) Change in time; (2) Change in angular position; (3) Average angular velocity