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 105 feet long?

Respuesta :

Answer:

The speed of the car traveling was 45.8 miles/hour

Step-by-step explanation:

* Lets explain how to solve the problem

- A police accident investigator can use the formula S = 2√(5L) 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

- To calculate the speed of a car traveling that left skid marks 105 feet

 long substitute L by 105

∵ S = 2√(5L)

∵ L = 105 feet

∴ S = 2√(5 × 105) = 2√(525)

∴ S = 45.8 miles/hour

* The speed of the car traveling that left skid marks 105 feet long

  was 45.8 miles/hour

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