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An automobile crash investigator measured the skid marks of one of the vehicles involved in a crash. The length of the skid marks was 188 feet.

Use the formula [tex]$s=\sqrt{24 d}$[/tex], where [tex]$s$[/tex] is the speed of the vehicle, in miles per hour, before the brakes were applied, and [tex]$d$[/tex] is the length of the skid marks, in feet, to find the speed of the vehicle before it started braking. Round your answer to the nearest tenth.

Answer: [tex]\square[/tex] miles per hour

Answer :

To find the speed of the vehicle before it started braking, we use the given formula:

[tex]\[ s = \sqrt{24 \times d} \][/tex]

where [tex]\( s \)[/tex] is the speed in miles per hour, and [tex]\( d \)[/tex] is the length of the skid marks in feet.

1. Identify the given information:
- The length of the skid marks, [tex]\( d \)[/tex], is 188 feet.

2. Substitute the value of [tex]\( d \)[/tex] into the formula:

[tex]\[ s = \sqrt{24 \times 188} \][/tex]

3. Calculate the expression inside the square root:

[tex]\[ 24 \times 188 = 4512 \][/tex]

4. Take the square root of the result:

[tex]\[ s = \sqrt{4512} \approx 67.17142249498666 \][/tex]

5. Round the speed to the nearest tenth:

[tex]\[ s \approx 67.2 \][/tex]

Therefore, the speed of the vehicle before it started braking was approximately 67.2 miles per hour.

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Rewritten by : Jeany