DYNAMICS : Cylindrical Components - problem 1

The arm of the robot moves so that r = 3 ft is constant, and its grip A moves along the path z = (3 sin 4u) ft, where u is in radians. If u = (0.5t) rad, where t is in seconds, determine the magnitudes of the grip’s velocity and acceleration when t = 3 s.
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[@huezaimienizam6871]

For z, it’s possible to differentiate without substitute the 2t first?

[@askmo99]

yes , use the chain rule