A $155$ kg roller coaster starts at position A from rest.

a$)$ What is the speed of the roller coaster when it reaches position B and C$?($Frictionless

path$)$

b$)$ Will the roller coaster reach position D$?$ Explain your reason.

If the path has a constant friction force $=32.$ What is the speed of the roller coaster

at position B$?$ The distance from A to B is $40$ m$.$

d$)$ What is the speed of the roller coaster at point B after traveling the $10$ m radius loop?

e$)$ Can the roller coaster reach position D now? Explain your reason.