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A particle moves according to the law of motions = t - 8t2 + 3t,...

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A particle moves according to the law of motions = t - 8t2 + 3t, t ? 0,where t is measured in seconds and s in feet.(a) Find the average velocity over the interval [1,2](b) Find the velocity at time t.(c) What is the velocity after 3 seconds?(d) What is the acceleration after 7 seconds?(e) Fort > 0, when is the particle moving in the positive direction?

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