A spiral transition curve is used on railroads to connect a straight portion of the track with a curved portion. If the spiral is defined by the equation y = (10^-6)x³, where x and y are in feet, determine the magnitude of the acceleration of a train engine moving with a constant speed of 40 ft/s when it is at the point where x = 600 ft.

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y v = 40 ft/s - 600 ft- y = (106)x³ X