As a city planner, you receive complaints from local residents about the safety of nearby roads...

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Physics

As a city planner, you receive complaints from local residentsabout 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) istoo high to allow vehicles to stop in time. Under normal conditionsthis is not a problem, but when fog rolls in visibility can reduceto only 47 meters. Because fog is a common occurrence in thisregion, you decide to investigate. The state highway departmentstates that the effective coefficient of friction between a rollingwheel and asphalt ranges between 0.842 and 0.941 , whereas theeffective coefficient of friction between a skidding (locked) wheeland asphalt ranges between 0.550 and 0.754 . Vehicles of all typestravel on the road, from small cars with a mass of 627 kg to largetrucks with a mass of 4271 kg. Considering that some drivers willbrake properly when slowing down and others will skid to stop,calculate the minimum and maximum braking distance needed to ensurethat all vehicles traveling at the posted speed limit can stopbefore reaching the intersection. maximum: _____m minimum: _____mGiven that the goal is to allow all vehicles to come safely to astop before reaching the intersection, calculate the maximumdesired speed limit. maximum speed limit: ____km/h

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