A transition curve is required for a single carriageway road with a design speed of 90 km/hr. The radius of the connecting curve is 500 m. Assume a value of 0.3 m/s$$^2$$ for the rate of change of radial acceleration. The required length of transition curve should be ______________

A

104.17 m

B

111.28 m

C

137.11 m

D

166.67 m