Answer:
- <u>Hannah was not speeding because her speed was about 61 mph, which is below the speed limit.</u>
Explanation:
Just to correct some typos, this is the complete question:
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<em>The equation d=0.05v² + 1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.</em>
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<h2>Solution</h2><em />
To find whether Hannah was speeding, you must find the velocity that is solution for the equation:
- 250=0.05v² + 1.1v
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Write it in standard form:
- 0.05v² + 1.1v - 250 = 0
Use the quadratic formula:
The speed can only be positive; thus, it is about 61 miles per hour, which is below the speed limit of 65mph.
In conclusion, she was not speeding.