A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. At what time is the velocity minimum?

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A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t<sup>4</sup>/12 – 2t<sup>3</sup>/3 + 3t<sup>2</sup>/2 + t + 15. At what time is the velocity minimum?