A particle travels along the portion of the "four-leaf rose" defined by the equation r = (5 cos 2θ) m. If the angular velocity of the radial coordinate line is θ = (3t²) rad/s, where t is in seconds, determine the radial and transverse components of the particle's velocity and acceleration at the instant = 30°. When t = 0, θ = 0.

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D r = (5 cos 20)