A curve connecting two highway straights is to be wholly transitional, consisting of two identical transition curves. The distance from the intersection point of the straights to the intersection point of the two transitions is to be 5.35 m. The deflection angle between the straights is 12°18'22" and the maximum allowable superelevation built into the curve is 5.5%. Calculate:
(i) The length from each tangent point to the intersection point
(ii) The minimum radius of curvature of the curve
(iii) The design speed for the curve, taking g as 9.81 m s–2
(iv) The rate of change of radial acceleration when vehicles travel at the design speed