Problem 53c
Page 364
Section 6.1: Area Between Two Curves
Chapter 6: Applications of the Integral
Given information
Given:-
Step-by-step explanation
We assume that the athletes started the race from the same point
observing interval [0,5], the area between the curves represents a lead of athlete 1 over 2.
Athlete 1 is ahead after 5s.
Observing interval [5,10], the area between the curves represents a lead of athlete 1 over 2 during that interval as well.
Athlete 1 is ahead after 10s.
Observing interval [10,15], the area between the curves represents more ground covered by athlete 2 than athlete 1 during that interval athlete 2 has started catching up
The area does not yet equal the total area over [0,10] representing the lead of athlete.
Athlete 1 is still ahead after 15s.
Observing interval [15,20], the area between the curves
represents more ground covered by athlete 2 than athlete 1 during that interval
The sum of areas of the last two 5-seconds intervals seems slightly larger than the area (lead) that athlete 1 had built in the first 10 seconds...
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CALCULUS:EARLY TRANSCENDENTALS
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