One of Aesop’s fables tells of a race between a tortoiseand a hare. Suppose the overconfident hare takes a napand wakes up to find the tortoise a distance d ahead and a distanceL from the finish line. If the hare then begins runningwith constant speed v 1 and the tortoise continues crawling withconstant speed v 2, it turns out that the tortoise wins the race ifthe distance L is less than (v 2 /(v 1 -v 2))d. Obtain this resultby first writing expressions for the times taken by the hare andthe tortoise to finish the race, and then noticing that to win,t tortoise <t hare. Assume v2 <v1.

One of Aesop’s fables tells of a race between a tortoiseand a hare. Suppose the overconfident hare takes a napand wakes up to find the tortoise a distance d ahead and a distanceL from the finish line. If the hare then begins runningwith constant speed v 1 and the tortoise continues crawling withconstant speed v 2, it turns out that the tortoise wins the race ifthe distance L is less than (v 2 /(v 1 -v 2))d. Obtain this resultby first writing expressions for the times taken by the hare andthe tortoise to finish the race, and then noticing that to win,t tortoise <t hare. Assume v2 <v1.

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Description: One of Aesop’s fables tells of a race between a tortoiseand a hare. Suppose the overconfident hare takes a napand wakes up to find the tortoise a distance d ahead and a distanceL from the finish line. If the hare then begins runningwith constant spee

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter3: Motion Along A Straight Line

Section: Chapter Questions

Problem 42P: An airplane, starting from rest, move down the runway at constant for 18 s and then takes off at a...

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