A toy Ferris wheel spins such that its angular position follows the equation θ(t) = X + Yt - Zt³, where θ is measured in radians, t is measured in seconds, and X, Y, and Z are constants. At t = 0, the angular position of the wheel is θ = π/2 while the angular velocity is 1.70 rad/s. At another instance of time, t = 2.20 s, the wheel has an angular acceleration of 0.875 rad/s². Determine the values of  X, Y, and Z and indicate their units.