An uncontrolled automobile weighing 2250 lb and travelling at 65 mi/h strikes a highway crash cushion squarely and is brought to rest by crushing steel barrels. The force needed to crush the barrels is F = 18 kips for 0 ≤ x < 5 ft, 27 kips for 5 ≤ x < 14 ft and 36 kips beyond 14 ft, where x is the distance moved into the cushion. Neglecting friction, determine (a) the distance the automobile moves into the cushion before it stops, (b) its maximum deceleration. (Take g = 32.2 ft/s².)