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 theautomobile.

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