The angular acceleration of a flywheel is defined by the relation = 30e0.2t, where and

The angular acceleration of a flywheel is defined by the relation α = 30e−0.2t, where α and t are expressed in rad/s2 and seconds, respectively. Knowing that θ = 0 and ω = 0 at t = 0, determine the angular velocity and angular coordinate of the particle when t = 0.5 s