A particle moves along the x-axis so that its velocity at any given time is = 2t - 3 and x (0) = 3. v(t) = a.) Find the equation for position of the particle as a function of t, ,x(t). b.) Find the position of the particle at t = 3. c.) At what values of t does the particle change direction? d.) Where is the particle when the position is a minimum?

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A: A detailed solution is given below.