At the instant represented, the disk with the radial slot is rotating about (O) with a counterclockwise

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At the instant represented, the disk with the radial slot is rotating about \(O\) with a counterclockwise angular velocity of \(4 \mathrm{rad} / \mathrm{sec}\) which is decreasing at the rate of \(10 \mathrm{rad} / \mathrm{sec}^{2}\). The motion of slider \(A\) is separately controlled, and at this instant, \(r=6\) in., \(\dot{r}=5 \mathrm{in}\)./sec, and \(\ddot{r}=\) \(81 \mathrm{in} . / \mathrm{sec}^{2}\). Determine the absolute velocity and acceleration of \(A\) for this position.

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