As a city planner, you receive complaints from local residents about the safety of nearby roads and streets. One complaintconcerns a stop sign at the corner of Pine Street and 1st Street. Residents complain that the speed limit in the area (89 km/h)is too high to allow vehicles to stop in time. Under normal conditions this is not a problem, but when fog rolls in visibilitycan reduce to only 47 meters. Because fog is a common occurrence in this region, you decide to investigate.The state highway department states that the effective coefficient of friction between a rolling wheel and asphalt rangesbetween 0.842 and 0.941, whereas the effective coefficient of friction between a skidding (locked) wheel and asphalt rangesbetween 0.550 and 0.754. Vehicles of all types travel on the road, from small cars with a mass of 531 kg to large trucks witha mass of 3463 kg.Considering that some drivers will brake properly when slowing down and others will skid to stop, calculate the minimumand maximum braking distance needed to ensure that all vehicles traveling at the posted speed limit can stop before reachingthe intersection.minimum:mmaximum:Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximumdesired speed limit.maximum speed limit:km/h

From work-energy principle W=ΔKfΔx=12mv2μmgΔx=12mv2Δx=v22μg

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