Using the formula S = 5.5 (square root) (D*F), what is the minimum speed in miles per hour of a vehicle with skid marks measuring 64 feet and a drag factor of 0.75?

To determine the minimum speed of a vehicle using the given formula ( S = 5.5 \sqrt{D \cdot F} ), you need to correctly identify the variables and their values:

• ( D ) represents the distance of the skid marks in feet.
• ( F ) is the drag factor.

From the question:

• The skid marks ( D ) are 64 feet.
• The drag factor ( F ) is 0.75.

Now, substituting these values into the formula:

1. Calculate ( D \cdot F ): ( 64 \cdot 0.75 = 48 ).

2. Next, substitute this value back into the formula: ( S = 5.5 \sqrt{48} ).

3. Calculate ( \sqrt{48} ): ( \sqrt{48} \approx 6.928 ) (using a calculator or estimating).

4. Now, multiply by 5.5: ( S = 5.5 \cdot 6.928 \approx 38.1 ).

Thus, the minimum speed of the vehicle is approximately 38.1 miles per hour. This supports the