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The position of a particle moving horizontally is s ( t ) = 2 t 3 - 1 2 t 2 + 1 8 t

The position of a particle moving horizontally is s(t)=2t3-12t2+18t+1, where s is measured in meters and t is in seconds.
a. Find the velocity and acceleration of the particle as functions of t.
b. On what time interval(s) is the particle moving backwards? Explain your answer.
c. Is the particle speeding up or slowing down at 1.5 seconds? Explain your answer

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