A frictionless roller coaster is given an ini- tial velocity of v0 at height h = 27 m. The radius of curvature of the track at point A is R = 33 m....

A frictionless roller coaster is given an ini-tial velocity of v0 at height h = 27 m. Theradius of curvature of the track at point A isR = 33 m.The acceleration of gravity is 9.8 m/s2 .Find the maximum value of v0 so that theroller coaster stays on the track at A solelybecause of gravity.Answer in units of m/s.