https://file.aiquickdraw.com/mathbot/file/1727045049461k6oth23x.jpg

The formula given in the image is:

\[
v = \sqrt{20L}
\]

where:
- \( v \) is the speed of the car in miles per hour (mph),
- \( L \) is the length of the skid marks in feet.

The problem states that the skid marks are 132 feet long, so we need to substitute \( L = 132 \) into the formula to find \( v \).

\[
v = \sqrt{20 \times 132}
\]

Let me calculate this for you.The car was traveling at approximately \( 51.4 \) miles per hour (rounded to the nearest tenth).

Would you like more details or have any questions?

Here are five related questions to expand on this concept:
1. How would the speed calculation change if the length of the skid marks were longer?
2. What factors, other than the length of the skid marks, could affect the car's speed estimate?
3. Can this formula be used on wet roads, or does it need adjustment for different conditions?
4. How could air resistance or other forces impact the result from this formula?
5. If the car had been moving at 60 mph, how long would the skid marks be?

**Tip:** When using formulas like this one, always ensure the conditions match (e.g., dry asphalt in this case). Different surfaces may require different constants.

Police use the formula v = √(20L) 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 132 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth.

Estimate the speed of a car based on the length of its skid marks using the formula v = √(20L). In this problem, the skid marks are measured to be 132 feet long, leading to a speed of approximately 51.4 miles per hour. Suitable for students in Grades 7-9.

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