A rocket flies according to a spiral arc path: r(t) = (x(t), y(t), z(t)) = (1200sin(t/2), 1200cos(t/2), 500t). Here, x, y, and z are in meters, and t is in minutes. How far does the plane fly between...

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Extracted text: A rocket flies according to a spiral arc path: r(t) = (x(t), y(t), z(t)) = (1200sin(t/2), 1200cos(t/2), 500t). Here, x, y, and z are in meters, and t is in minutes. How far does the plane fly between time 0 and time 10 minutes?