Where “s” represents the speed of the car in mph, “d” represents the distance the car skidded in feet, and “f” represents the coefficient of friction that exists between the road and tire. For simplicity, “F” is typically either about 1.0 if the road was dry at the time or 0.5 if the road was wet.1) Rewrite the formula as a fraction exponent instead as a radical.


2) Fill in the table below for the estimated speed of the car based on the length of skid marks. It was a clear and dry day. Show all your calculations for the table answers. Round answers to the nearest hundredth.

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3) Use Desmos to graph the function. Describe how the graph looks. Insert a screenshot of your graph in your document.

4) An investigator was looking at a report regarding the speed of the car. However, the report neglected to state whether the conditions of the road were dry or wet. If the skid marks were 70 ft long and the calculated speed was 32.40 mph, explain what the conditions were and why. Show work to find the answer.

5) Aaron and John were trying to find what a skid mark length would be in rainy weather if a car was traveling at 100 mph before braking. Show work to find the answer.