The position of a particle along a straight line is given by s = (1.5t^3 - 13.5t^2 + 22.5t) ft, where t is in seconds. Determine the position of the particle when t = 6 s and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled.

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The position of a particle along a straight line is given by s = (1.5t^3 - 13.5t^2 + 22.5t) ft, where t is in seconds. Determine the position of the particle when t = 6 s and the total distance it travels during the 6-s time interval. Hint: Plot the path to determine the total distance traveled.

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