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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 [tex]s[/tex] is the speed in miles per hour and [tex]d[/tex] is the length of the vehicle's skid marks.

What was the approximate speed of a vehicle that left a skid mark measuring 165 feet?

Answer :

The approximate speed of a vehicle that left a skid mark measuring 165 feet is 61.16 mph.

The length of the vehicle's skid mark, d = 165 feet

The formula relating the speed of a vehicle before the brakes are applied, s, and the length of the skid marks, d is 0.75d = s^2/30.25

Now, substituting d = 165 feet0.75(165) = s^2/30.25

Squaring both sides,

we get; S^2 = 30.25 × 0.75 × 165S^2 = 3735.94

Now, taking the square root on both sides of the equation, we get the speed of the vehicle before applying the brakes as'S = √(3735.94)≈ 61.16 mph

Therefore, the approximate speed of a vehicle that left a skid mark measuring 165 feet is 61.16 mph.

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