1. A particle moves along a vertical coordinate axis so that its position at any time t20 is given by the function s(r) = r' – 6r² +9t + 5, where s is measured in centimeters and t is measured in seconds. (e) Describe the motion of the particle for t20. Answer the following questions with justification: • When is the particle moving up? • When is the particle moving down? • When is the particle at rest? • When is the particle speeding up? • When is the particle slowing down? . because because because because because • Find the particle's acceleration each time the velocity is zero. • Find the total distance traveled by the particle from 0 to 3 seconds.

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