A door starts from rest and swings with an angular acceleration, alpha, α = 6 rad/s2, where t is in seconds. Determine the angle in radians through which the door turns in the first 3 s.

Question

Hint: kinematics equation for angular position (i.e., angle) is exactly the same as for (linear) position from translational kinematics (x = x_i + v_i + 1/2at^2) with Greek letters instead of Latin letters: θ = θ_i + omega_i*t + 1/2alpha*t^2.