Answer with Explanation:
We are given that




a.Initial velocity of vessel,u=0
According to law of conservation of momentum

Where M=Mass of vessel


m/s
Magnitude,
b.
Hence, direction of the velocity of third piece=45 degree
When the roller coaster moves down from the top of the hill, all of its stored potential energy is converted into kinetic energy to move it and when it goes back up the hill it turns kinetic into potential.
I am pretty sure the answer would be too stretch