A $1-kg$ bob is released from rest from a height of $2-m$ along a curved incline. At the same time, a $2$ kg block is also released from rest from a distance of $2-m$ along a $30$ degree incline. Afterward, the two objects collide at the bottom. The system is shown below. Assuming all surfaces are frictionless:

a$.$ Determine the velocity of each object just before the collision? $(10$pts$)$

b$.$ Assuming the collision is completely inelastic, what are the velocities of the objects after the collision? $(10$pts$)$

c$.$ Assuming the collision is elastic, what are the velocities of the objects after the collision? $(10$pts$)$