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Worst average encountered highway velocity

Published online by Cambridge University Press:  02 March 2020

Jennifer Switkes
Affiliation:
California State Polytechnic University, Pomona, Department of Mathematics and Statistics, 3801 West Temple Avenue, Pomona, CA 91768USA, e-mails: [email protected]; [email protected]
Randall Swift
Affiliation:
California State Polytechnic University, Pomona, Department of Mathematics and Statistics, 3801 West Temple Avenue, Pomona, CA 91768USA, e-mails: [email protected]; [email protected]

Extract

A driver’s estimate of the average velocity of vehicles on a highway is biased by the driver’s sampling of those vehicles that pass the driver or are passed by the driver. Surprisingly, the magnitude of the bias does not head towards infinity as the driver’s speed heads towards infinity. Here, we explore these interesting facts.

Type
Articles
Copyright
© Mathematical Association 2020

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References

Clevenson, L., Schilling, M., Watkins, A. and Watkins, W., The average speed on the highway, College Math. J. 32 (2001) pp. 169171.CrossRefGoogle Scholar
Dawson, B. and Riggs, T., Highway relativity, College Math. J. 35, (2004) pp. 246250.CrossRefGoogle Scholar
Haight, F. A., Mathematical theories of traffic flow, Academic Press, New York (1963).Google Scholar
Swift, R., Switkes, J. and Wirkus, S., Perceived highway speed, Math. Scientist 28 (2003) pp. 2836.Google Scholar
Swift, R., Switkes, J. and Wirkus, S., On highway relativity, Math. Scientist 31 (2006) pp. 132133.Google Scholar