A Cyclist Starts from Rest and Travels 25 Miles Along

question 420

Essay

A cyclist starts from rest and travels 25 miles along a straight road in 30 minutes. Use the Mean-Value Theorem to show that at some instant during the trip his velocity was exactly 50 miles per hour.

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Definitions:

Overconfident

A psychological condition where an individual's belief in their own abilities, decisions, or forecasts exceeds the objective accuracy of those beliefs, often leading to risk-taking behaviors.

Ultimatum Game

A game in experimental economics, where two players decide on how to divide a sum of money, with one proposing the split and the other accepting or rejecting it.

Homo Economicus

An idealized concept of a rational and self-interested individual, considered in economic theories to predict decision-making behaviors.

Innate Sense

A natural or inborn feeling, knowledge, or ability, not learned through experience but inherent at birth.