MATH SOLVE

2 months ago

Q:
# Police use the formula: v = β 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 194 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.

Accepted Solution

A:

Answer: 62.3 miles per hours.Step-by-step explanation:The given formula is[tex]v=\sqrt{20L}[/tex]Police use this formula to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road.It is given that car's skid marks is 194 feet at the scene of an accident.We need to find the speed of car at the time of accident.Substitute L=194 in the above formula.[tex]v=\sqrt{20(194)}[/tex][tex]v=\sqrt{3880}[/tex][tex]v=62.289646[/tex][tex]v\approx 62.3[/tex]Therefore, the speed of car is 62.3 miles per hours.