Solve the below problem:
Q: An uncontrolled automobile traveling at 100 km/h 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 automobile has a mass of 1000 kg and neglecting the effect of friction, determine
(a) The distance the automobile will move into the cushion before it comes to rest,
(b) The maximum deceleration of the automobile.