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LAW ENFORCEMENT: A police accident investigator can use the formula S=25L−−−√ to estimate the speed s of a car in miles per hour based on the length l in feet of the skid marks it left. How fast was a car traveling that left skid marks 129 feet long?

Verified Answer :

JcAlmighty

The answer is 50.8 miles per hour.

The formula is \(s=2 \sqrt{5l}\)
If l = 129 feet, we will implement it in the formula:
\(s=2 \sqrt{5l} =2 \sqrt{5*129} =2 \sqrt{645}= 2*25.4=50.8\)

Thus, the speed of the car that left skid marks 129 feet long was 50.8 miles per hour.

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