The angular velocity of a particle is given by ω = St^2 + 3, where ω is in rad/s and t is in seconds. Determine:
1. Angular velocity at t = 1.0s
2. Angular velocity at t = 3.0s
3. Average angular acceleration in the time interval of t = 1.0s and t = 3.0s
4. Instantaneous angular acceleration at t = 4.0s