A race boat is traveling at a constant speed V0= 77mph when it performs a turn with a constant radius rho to change its course by 90 degrees. The turn is performedby losing speed uniformly in time so that the boats speed at the end of the turn is vf= 72mph. If the max allowed normal acceleration is equal to 2g where g is the acceleration due to gravity, determine the tightest radius of curvature possible and the time needed to complete the turn.