A particle moves in a straight line with a constant acceleration of 24 ft/s² for 6s, zero acceleration for the next 4s, and a constant acceleration of 14 ft/s2 for the next 4 s. Knowing that the particle starts from the origin and that its velocity is 28 ft/s during the zero acceleration time interval, determine the position and the velocity of the particle and the total distance traveled when t =14 s. (Draw the diagram

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