Q$.2(33$ pts$)$

A $20$ kg collar slides without friction along a vertical rod as shown. The spring attached to the collar has an un$-$deformed length of $150$ mm and a constant of $k=1100\frac{N}{m}.$ If the collar is released from rest in position $(1),$ determine:

a$.$ Its velocity after it has moved $360$ mm to position $(2)$

b$.$ The normal force on the collar in position $(2)$

c$.$ The acceleration of the collar in position $(2).$