Consider a track in the shape of a perfect circle of radius 1 kilometer. A biker rides counter-clockwise at a constant speed around the track completing 3 laps every hour. Write a formula for the position of the biker (x(t), y(t)) t minutes after starting, where the origin is at the center of the track and the biker's starting position is on the posi- tive x-axis. Use this formula to compute how far the biker

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 55P
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Consider a track in the shape of a perfect circle
of radius 1 kilometer. A biker rides counter-clockwise at
a constant speed around the track completing 3 laps every
hour. Write a formula for the position of the biker (x(t), y(t))
t minutes after starting, where the origin is at the center of
the track and the biker's starting position is on the posi-
tive x-axis. Use this formula to compute how far the biker
travels in their first 200 minutes of biking.
Transcribed Image Text:Consider a track in the shape of a perfect circle of radius 1 kilometer. A biker rides counter-clockwise at a constant speed around the track completing 3 laps every hour. Write a formula for the position of the biker (x(t), y(t)) t minutes after starting, where the origin is at the center of the track and the biker's starting position is on the posi- tive x-axis. Use this formula to compute how far the biker travels in their first 200 minutes of biking.
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