A rigid rod in the \(xy\)-plane is \(2\text{ m}\) long and has a mass of \(1\text{ kg}\). The rod is free to move.

The instantaneous velocity of one of its ends is \((v_{x_1},v_{y_1}) = (0,3)\text{ m/s},\) and the instantaneous velocity of the other end is \((v_{x_2},v_{y_2}) = (2,1)\text{ m/s}.\)

What is the kinetic energy of the rod (in Joules, to 3 decimal places)?

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