For a short time the arm of the robot is extending such that r= 1.5 ft/s when

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For a short time the arm of the robot is extending such that r= 1.5 ft/s when r = 3 ft, z = (4t²) ft, and θ = 0.5t rad, where t is in seconds. Determine the magnitudes of the velocity and acceleration of the grip A when t = 3 s.

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