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

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

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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Question

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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