Answer:
62.3 miles per hours.
Step-by-step explanation:
The given formula is
![v=\sqrt{20L}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B20L%7D)
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.
![v=\sqrt{20(194)}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B20%28194%29%7D)
![v=\sqrt{3880}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B3880%7D)
![v=62.289646](https://tex.z-dn.net/?f=v%3D62.289646)
![v\approx 62.3](https://tex.z-dn.net/?f=v%5Capprox%2062.3)
Therefore, the speed of car is 62.3 miles per hours.