Sam is racing her soapbox racer on a straight downhill track. Suppose that the track is 1000 feet long and her distance down the track in feet is given by the function S (t) = t 2 + 30t, where t is in seconds. Assume that S ′(t) = 2t + 30. Sam is trying to break the soapbox racer speed record of 65 feet per second. Does she do it as she races down the 1000 foot track?

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