25. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow: Time since start (min) 0 15 30 45 60 75 90 Speed (mph) 12 11 10 10 8 70 (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. How often would Jeff have needed to measure Roger's speed in order to find lower and upper es- timates within 0.1 mile of the actual distance he ran?
25. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow: Time since start (min) 0 15 30 45 60 75 90 Speed (mph) 12 11 10 10 8 70 (a) Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger ran during the first half hour. (b) Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half. How often would Jeff have needed to measure Roger's speed in order to find lower and upper es- timates within 0.1 mile of the actual distance he ran?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I got 1/30 for question c and I do not get it why the answer is 30s. Please explain. Thank you!
Transcribed Image Text:25. Roger runs a marathon. His friend Jeff rides behind him
on a bicycle and clocks his speed every 15 minutes.
Roger starts out strong, but after an hour and a half he
is so exhausted that he has to stop. Jeff's data follow:
Time since start (min) 0 15 30 45 60 75 90
Speed (mph) 12 11 10 10 8 70
(a) Assuming that Roger's speed is never increasing,
give upper and lower estimates for the distance
Roger ran during the first half hour.
(b) Give upper and lower estimates for the distance
Roger ran in total during the entire hour and a half.
How often would Jeff have needed to measure
Roger's speed in order to find lower and upper es-
timates within 0.1 mile of the actual distance he
ran?
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