Professional Application

Dr$.$ John Paul Stapp was U$.$S$.$ Air Force officer who studied the effects of extreme deceleration on the human body. On December $10,1954,$ Stapp rode a rocket sled, accelerating from rest to a top speed of $282$ m$/$s $(1015$ km$/$h$)$ in $5\mathrm{.}00$ s$,$ and was brought jarringly back to rest in only $1\mathrm{.}40$ s$!$ Calculate his $($a$)$ acceleration and $($b$)$ deceleration. Express each in multiples of g $(9\mathrm{.}80$m$/$s$^2)$

by taking its ratio to the acceleration of gravity.