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Police can estimate the speed of a vehicle before the brakes are applied using the formula:

\[0.75d = \frac{s^2}{30.25}\]

where \(s\) is the speed in miles per hour and \(d\) is the length of the vehicle’s skid marks.

What was the approximate speed of a vehicle that left a skid mark measuring 150 feet?

Answer :

Answer: About 58 miles per hour

Step-by-step explanation:

Given: Police can estimate the speed of a vehicle before the brakes are applied using the formula :-

[tex]0.75d=\frac{s^2}{30.25}[/tex], where s is the speed in miles per hour and d is the length of the vehicle’s skid marks (feet).

Now, to find the approximate speed of a vehicle that left a skid mark measuring 150 feet, substitute d= 150 in the above formula we get

[tex]0.75(150)=\frac{s^2}{30.25}\\\\\Rightarrow\ s^2=0.75(150)(30.25)\\\\\Rightarrow\ s^2=3403.125\approx3403\\\\\Rightarrow\ s=\sqrt{3403}=58.3352380641\approx58[/tex]

Hence, the approximate speed of a vehicle that left a skid mark measuring 150 feet = 58 miles per hour .

Thank you for reading the article Police can estimate the speed of a vehicle before the brakes are applied using the formula 0 75d frac s 2 30 25 where s. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

150ft is 0.028 miles
So
(0.75x0.028)=(sxs) / 30.25
Meaning
(0.75x0.028)x 30.25 = (sxs)
And then square root to get the s

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