A wooden roller coaster at Six Flags contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 106 feet above the ground. If it takes a car 1.8 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form

that models the motion of the coaster train during this run starting at the top of a hill.

y = A sin (wt - ) + B