An uncontrolled automobile traveling at 45 mph strikes a highway crash barrier square on. After initially hitting the barrier the automobile decelerates at a rate proportional to the distance x the automobile has moved into the barrier, that is, a = -60x1/2 , where a and x are expressed in ft/s2and ft, respectively. Determine the distance the automobile will move into the barrier before it comes to rest. (Draw the diagram)

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