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
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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