Final answer:
The question requires applying the principles of conservation of energy and circular motion to calculate the roller coaster's properties such as speed, force, and angular momentum.
Step-by-step explanation:
To calculate the properties of the roller coaster's motion at different points along its track, we must understand that the conservation of energy and the forces involved in circular motion will be essential to solving the problems presented. These principles of physics will guide us in determining the roller coaster's speed, the force it exerts on passengers, and other variables such as angular momentum and kinetic energy loss.