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

A straight rod of length L(t), hinged at one end and freely extensible

1.	A straight rod of length L(t), hinged at one end and freely extensible at the other end, rotates through an angle θ(t) about the hinge. At time t, L(t) = 1 m, \(\dot L\left( t \right) = 1\;\frac{m}{s},\;\theta \left( t \right) = \frac{\pi }{4}\;rad\;and\;\dot \theta \left( t \right) = 1\frac{{rad}}{s}\). The magnitude of the velocity at the other end of the rod is
A.	1 m/s
B.	\(\sqrt 2 \;\frac{m}{s}\)
C.	\(\sqrt {3\;} \frac{m}{s}\)
D.	2 m/s
Answer» C. \(\sqrt {3\;} \frac{m}{s}\)