A straight rod of length L(T), hinged at one end and freely extensible at the other end, rotates through an angle $\theta$(t) about the hinge. At time t, L(t) = 1 m, L(t) = 1 m/s, $\theta$(t) = $\frac{\pi}{4}$ rad and $\theta$(t) = 1 rad/s The magnitude of the velocity at the other end of the rod is
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