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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 79AP: A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts...

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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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