The length of a car's skid mark in feet is given by L=0.044s^2−0.192s+0.266,where sis the car's speed in miles per hour. If the length of a skid mark is 110feet, find the speed in miles per hour the car was traveling.
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We know that L = 110 ft.
Plug L = 110 ft into L=0.044s^2−0.192s+0.266 and solve for 's':
0.044s^2−0.192s+0.266 = 110
s = 52.17 mph approximately
We ignore the negative solution since the speed is always positive.