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10. The motion of a particle is described by the position function s(t)= 213-15t2 +33t+17,t>0 , where t is measured in seconds and s(t) in metres a. When is the particle at rest? (2 marks) b. When is the velocity positive? (2 marks) c) Draw a diagram to illustrate the motion of the particle in the first 10 seconds. (1 mark) d) Find the total distance traveled in the first 10 seconds. (1 mark)