Police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=(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 140 feet?

we know that 0.75d=(s^2)/(30.25) , so for d=140ft
0.75 x 140= (s^2)/(30.25) implies 0.75 x 140 x 30.25)= (s^2), and then
s= sqrt( 0.75 x 140 x 30.25)=56.35 miles /hour

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psm22415 psm22415 · Answer 2 · 2021-11-28T06:05:02+01:00

The approximate speed of a vehicle that left a skid mark measuring 140 feet is 56.35 miles per hour.

Let, s is the speed in miles per hour,

And d is the length of the vehicle’s skid marks.

The brakes are applied using the formula

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

We have to find,

The approximate speed of a vehicle that left a skid mark measuring 140 feet.

According to the question,

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

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

So, for d = 140ft

= 0.75 x 140 = [tex]\frac{s^{2}}{30.25}[/tex]

= 0.75 x 140 x 30.25) = [tex]s^{2}[/tex],

s = [tex]\sqrt{(0.75).(140).(25)}[/tex] = 56.35 miles per hour

Hence, The approximate speed of a vehicle that left a skid mark measuring 140 feet is 56.35 miles per hour .

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