A fan blade rotates with angular velocity given by ωz ( t ) = γ − βt^2

A fan blade rotates with angular velocity given by ωz(t)=γ−βt2.

A) Calculate the angular acceleration as a function of β, γ and time t.
B) If γ=5.35 rad/s and β=0.760 rad/s3, calculate the instantaneous angular acceleration at t = 2.60 s.
C) If γ=5.35 rad/s and β=0.760 rad/s3, calculate the average angular acceleration for the time interval t = 0 to t = 2.60 s.