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**Problem**: A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a = (6.1 − 1.2t) m/s2 for 0 ≤ t ≤ 6.0 s. At t = 0, the velocity and position of the cyclist are 2.7 m/s and 7.3 m.(a) What is the maximum speed achieved by the cyclist?(b) What total distance does the cyclist travel between t = 0 and 6.0 s?

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A motorcyclist who is moving along an *x *axis directed toward the east has an acceleration given by *a* *= *(6.1 − 1.2*t*) m/s^{2} for 0 ≤ *t* ≤ 6.0 s. At *t* *= *0, the velocity and position of the cyclist are 2.7 m/s and 7.3 m.**(a)** What is the ma*x*imum speed achieved by the cyclist?**(b)** What total distance does the cyclist travel between *t **=* 0 and 6.0 s?

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