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A particle moves along the graph of the function y=2x^(3/2) at the constant rate of 2.5 units per second. The particle starts at the point

A particle moves along the graph of the function y=2x^(3/2) at the constant rate of 2.5 units per second. The particle starts at the point where x = 1 and travels in the direction of increasing x. After one minute, what is the x-value, rounded to the nearest hundredth, of the point of the location of the particle? This question must be answered by using the arc length of the given function as we need to know the x value we end at after travelling 150 units of distance and our given function is not a straight line.

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