Professional Application:

A woodpecker$$s brain is specially protected from large decelerations by tendon$-$like attachments inside the skull. While pecking on a tree, the woodpecker$$s head comes to a stop from an initial velocity of $0\mathrm{.}600$ m$/$s in a distance of only $2\mathrm{.}00$ mm$.($a$)$ Find the acceleration in m$/$s$2$m$/$s$2$ and in multiples of $(=9\mathrm{.}80$m$/$s$2)$gg$=9\mathrm{.}80$m$/$s$2.($b$)$ Calculate the stopping time. $($c$)$ The tendons cradling the brain stretch, making its stopping distance $4\mathrm{.}50$ mm $($greater than the head and, hence, less deceleration of the brain$).$ What is the brain$$s deceleration, expressed in multiples of $$g$?$