Question 812113: PHYSICS—ENGINEERING For a car traveling at a speed of v miles per hour, under the best possible conditions the shortest distance d necessary to stop it (including reaction time) is given by the formula d = 0.044V^2 + 1.1v, where d is measured in feet. Estimate the speed of a car that requires 165 feet to stop in an emergency.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! 165 = 0.044v^2 + 1.1v
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0.044v^2 + 1.1v - 165 = 0
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the above quadratic equation is in standard form, with a=0.044, b=1.1, and c=-165
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to solve the above equation using the quadratic formula, plug this:
0.044 1.1 -165
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the roots (solutions) of the above quadratic equation are:
50
-75
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in this context, the negative root (-75) doesn't make sense, so use the positive root (50)
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Answer:
50 mph
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