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Question
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what is the first speed at which the ratio of stopping distance to speed is greater than 3 to 1?
Step1: Calculate ratio for 20 mph
For speed \(v = 20\) mph and stopping - distance \(d=43\) feet. The ratio \(\frac{d}{v}=\frac{43}{20}=2.15\)
Step2: Calculate ratio for 30 mph
For speed \(v = 30\) mph and stopping - distance \(d = 79\) feet. The ratio \(\frac{d}{v}=\frac{79}{30}\approx2.63\)
Step3: Calculate ratio for 40 mph
For speed \(v = 40\) mph and stopping - distance \(d = 126\) feet. The ratio \(\frac{d}{v}=\frac{126}{40}=3.15\)
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\(40\) mph