My friend and I start on opposite ends of a circular track. At the same time we start running in the same direction. I run at a constant pace of a lap every two minutes around the outside of the track (63 meters from the center) and my friend runs at a constant pace of a lap every three minutes around the inside of the track (61 meters from the center). When the angle formed by lines from my friend and myself to the center is at 7 and I am behind my friend, how fast is the distance between us decreasing? What if I were in front of my friend, how fast is the distance between us increasing?
My friend and I start on opposite ends of a circular track. At the same time we start running in the same direction. I run at a constant pace of a lap every two minutes around the outside of the track (63 meters from the center) and my friend runs at a constant pace of a lap every three minutes around the inside of the track (61 meters from the center). When the angle formed by lines from my friend and myself to the center is at 7 and I am behind my friend, how fast is the distance between us decreasing? What if I were in front of my friend, how fast is the distance between us increasing?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Step 1: Given information
VIEWStep 2: Expression for gap between two runners at time 't'.
VIEWStep 3 :Rate of change of d(t)
VIEWStep 4: Time when angle between R and S is 90 degree.
VIEWStep 5: rate of change of gap at t = 1.5min, When R is leading S
VIEWStep 6: rate of change of gap at t = 4.5min, when S is leading R
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