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The Closed Interval Method (Application Problem)

Problem taken from Stewart's Calculus (Early Trancendentals) text: The Hubble Space Telescope was deployed on April 24, 1990, by the space shuttle Discovery. A model for the velocity of the shuttle during this mission, from liftoff at t = 0 until the solid rocket boosters were jettisoned at time t= 126 sec, is given by the function whose equation and graph appear below. (Units of "v" are in feet per second.) Using this model, estimate the absolute maximum and minimum values of the acceleration of the shuttle between liftoff and the jettisoning of the boosters.