Develop a signal design and timing for the intersection shown in the figure below. In each case accommodate both vehicular and pedestrian movements. In general, use the following values for the problem: pedestrian walking speed $=1[\frac{m}{s}],$ vehicle deceleration $=3[\frac{m}{s^2}],$ driver reaction time $=1\mathrm{.}5[s],$ length of vehicle $=6[m],$ and level grade $=0.$ Assume this occurs in Australia, and justify the number of phases you decide to consider.