Problem $1,$ Stop signs controls all vehicles on the highway at a railroad crossing. Determine the minimum distance a building should be placed from the centerline of the tracks to allow a stopped vehicle to safely clear the intersection. Assume that the building is located $35$ feet from the centerline of the near lane. The velocity of trains approaching the crossing is $70MPH.$

Problem $2-$ A major roadway with a speed limit of $45MPH$ has an intersection that has no intersection control with a minor roadway at a right angle. A building is located next to the intersection at a distance of $60ft.$ from the center of the near lane on the major roadway and $40$ feet from the center of the near lane on the minor roadway. At what speed for the minor roadway is the intersection safe? Grades are approximately flat.

Problem $3-$ A developer has applied for construction permit to build a supermarket at the southeast conder of an intersection that is formed by a four$-$way divided highway in the East$-$West direction and a two$-$lane road in the north$-$south direction. Traffic on twolane highway is controlled by stop signs. The speed limit on the four$-$way highway is $55$ MPH$.$ Using the sight distance triangle requirements at the intersection, determine whether permission should be given for the construction under the following existing conditions:

Major road lane width $=12ft$

Minor road lane width $=11ft.$

Median width on major road $=9ft.$

Design vehicle on minor road is a passenger car with length $=22ft.$

Approach grade $=2\%$

Maximum feasible distance from the center of the nearest lane of the four$-$lane road to the proposed building can be $18ft.$

Maximum feasible distance of the proposed building from the center of the nearest lane of the two$-$lane road is $20\mathrm{.}5ft.$

Perform the analysis for left a turning vehicle from minor street with approaching vehicle on number one lane on major highway.

As part of your solution draw plan view of the intersection and indicate all the dimensions and your assumptions.