A particle travels along a portion of the “four-leaf rose” defined by the equation r = a cos(bθ). If the angular velocity of the radial coordinate line is θ' = ct², determine the radial and transverse components of the particle’s velocity and acceleration at the instant θ = θ₁. When t = 0, θ = 0°. Given:

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a = 5 m b = 2 c = 3 rad 3 S 0₁ = 30 deg