Answer :
If a skid mark with a length of 82.5 feet was found, then the speed of the car is 13.59 miles per hour
The function is
l(s) = 0.46s^2 - 0.199s + 0.264
Where l is the length of a skid mark measured in feet at an accident scene
s is the speed of the car in miles per hour
Given that the skid mark length = 82.5 feet
Then the equation will be
0.46s^2 - 0.199s + 0.264 = 82.5
Rearrange the terms
0.46s^2 - 0.199s + 0.264 - 82.5 = 0
0.46s^2 - 0.199s - 82.236 = 0
Use the quadratic equation
= [tex]\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Substitute the values in the equation
= [tex]\frac{0.199+/-\sqrt{(-0.199)^2-4(0.46)(-82.236)} }{2(0.46)}[/tex]
= (0.199 ± 12.30) / 0.92
Then
(0.199 + 12.30) / 0.92 = 13.59
(0.199 - 12.30) / 0.92 = -13.15
Therefore, the speed of the car is 13.59 miles per hour
The complete question is:
The function l(s) = 0.46s^2 - 0.199s + 0.264 relates the length of a skid mark measured in feet at an accident scene to the speed of the car in miles per hour. that means an accident reconstructionist can measure the length of a skid mark and find the speed the car was traveling. if a skid mark with a length of 82.5 ft was found, find the speed of the car. round your answer to the nearest tenth.
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