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Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6

(a)Determine the position of the particle at t=a
(b)Write an expression for the speed of the particle at any time t
(c)In which direction does the particle begin moving and when does it turn around?
(d)When, if ever, is the particle at the origin?

 

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