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?

Verified Answer :

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

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

\(0.75d = \frac{s^{2}}{30.25}\)

We have to find,

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

According to the question,

\(0.75d = \frac{s^{2}}{30.25}\)

=  0.75d = \(\frac{s^{2}}{30.25}\) ,

So,  for d = 140ft

= 0.75 x 140 = \(\frac{s^{2}}{30.25}\)    

= 0.75 x 140 x 30.25) = \(s^{2}\),  

s = \(\sqrt{(0.75).(140).(25)}\) = 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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