A wheel starts from rest and is given a constant angular acceleration of 4rad s−2 for 3s. Immediately afterwards it experiences a constant angular deceleration of 2rad s−2 until it comes to rest. What is the average angular velocity during the entire motion?
a) 9rad s−1
b) 6rad s−1
c) 12rad s−1
d) 5.33rad s−1