$4$

$2$ points

Collar C is pushed along the guide bar defined by $y=2(1-0\mathrm{.}25x^2),$ where x and y have units of meters. The angular speed of arm AB that actuates the motion is the constant value $=24ra\frac{d}{s}$ counterclockwise $($see figure$).$

Find the magnitude of the acceleration of the collar at the instant when the arm AB is horizontal $(=0).$

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