Problem # $1(10$ Marks$)$:

A collar is released at A with a velocity of $1\mathrm{.}00\frac{m}{s}$ and slides freely down the inclined rod as shown in the figure below. The spring constant k is equal to $25\frac{N}{m},$ and the unstretched length of the spring is $1000$ mm $.$ The mass of the collar is $3$ kg $.$ Based on the above information, what is the velocity of the collar as it passes position B$?$