A frictionless roller coaster is given an initial velocity of v0 at height h = 24 m . The radius of curvature of the track at point A is R = 31 m. The acceleration of gravity is 9.8 m/s2
a)Find the maximum value of v0 so that the roller coaster stays on the track at A solely because of gravity. Answer in units of m/s.
b)Using the value of v0 calculated in question 1,
determine the value of h
that is necessary if the roller coaster just makes it to point B. Answer in units of m.