1. An uncontrolled automobile traveling at 88 mph strikes squarely a highway crash cushion of the type shown in which the automobile is brought to rest by successively crushing steel

barrels. The magnitude F of the force required to crush the barrels is shown as a function of the distance x the automobile has moved into the cushion. Knowing that the weight of the automobile is 1,825 # and neglecting the effect of friction, determine: a. The initial kinetic energy of the vehicle T [# ft] b. The distance the automobile will move into the cushion before it comes to rest c. The maximum deceleration of the automobile a[f/s²] d. How many "g's" a person would feel in the crash