Problema Solution
A car with good tire tread can stop in less distance than a car with poor tread. The formula for the stopping distance d, in feet, of a car with good tread on dry cement is approximated by
d = 0.04v2 + 0.5v,
where v is the speed of the car. If the driver must be able to stop within 41 ft, what is the maximum safe speed, to the nearest mile per hour, of the car?
Answer provided by our tutors
d = 0.04v^2 + 0.5v
We need to find v such that d = 41 ft, that is, solve the following equation:
0.04v^2 + 0.5v = 41
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click here to see the equation solved for v
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v = 26 mph approximately
The maximum safe speed, to the nearest mile per hour is 26 mph.