Refer to the intersection below. All lanes are $3\mathrm{.}2$ m wide, the speed limit is $60$ km$/$h$,$ vehicles are on average $4\mathrm{.}8$ m long, reaction time is $1\mathrm{.}2$ seconds and acceptable deceleration is $3\mathrm{.}2$ m$/$s$2.$ Start$-$up lost time is $0\mathrm{.}9$ seconds and the all$-$red interval should be $2$ seconds. $2\mathrm{.}6$ seconds of the yellow interval is used as green. All interval times should be multiples of $1$ second. a$)$ Calculate the appropriate yellow time to avoid a dilemma zone. The same yellow time should be used for all phases. b$)$ Calculate the total lost time for the cycle.Phase A:

Phase B:

Phase C: