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a particle moves along the x axis so that at any time t>=1 its acceleration is given by a(t)=1/t. at time t=1, the velocity of the particle is v(1)=-2 and its position is x(1)=4. find the velocity v(t) for t>=1. find the position x(t) for t>=1. what is the position of the particle when it is farthest to the left? please show all steps!
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