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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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One of Aesop’s fables tells of a race between a tortoise
and a hare. Suppose the overconfident hare takes a nap
and wakes up to find the tortoise a distance d ahead and a distance
L from the finish line. If the hare then begins running
with constant speed v 1 and the tortoise continues crawling with
constant speed v 2, it turns out that the tortoise wins the race if
the distance L is less than (v 2 /(v 1 -v 2))d. Obtain this result
by first writing expressions for the times taken by the hare and
the tortoise to finish the race, and then noticing that to win,
t tortoise <t hare. Assume v2 <v1.
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