$1)$

Three belts move over two pulleys without slipping in the speed reduction system shown. At the instant shown the velocity of Point $A$ on the input belt is $0\mathrm{.}6\frac{m}{s}$ to the right, decreasing at the rate of $1\mathrm{.}8\frac{m}{s^2}.$ Determine, at this instant, $($a$)$ the velocity and acceleration of Point $C$ on the output belt, $(b)$ the acceleration of Point $B$ on the output pulley.