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A particle is moving along a line in such a way that v centimeters per second is the velocity of the particle at t seconds, then v = 87 cos 4лt, where the positive direction is to the right of the origin. If the particle is at the origin at the start of the motion, find an equation for the particle's positions at t seconds.

A particle is moving along a line in such a way that v centimeters per second is the velocity of the particle at t seconds, then v = 87 cos 4лt, where the positive direction is to the right of the origin. If the particle is at the origin at the start of the motion, find an equation for the particle's positions at t seconds.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Trigonometric Functions: Unit Circle Approach
Section6.CR: Chapter Review
Problem 13CC
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A particle is moving along a line in such a way that v centimeters per second is the velocity of the particle at t seconds, then v=8л cos 4лt, where the positive direction is to the right of the origin. If the particle is at the origin at the start of the motion, find an equation for the particle's positions at t seconds. 4
Transcribed Image Text:A particle is moving along a line in such a way that v centimeters per second is the velocity of the particle at t seconds, then v=8л cos 4лt, where the positive direction is to the right of the origin. If the particle is at the origin at the start of the motion, find an equation for the particle's positions at t seconds. 4
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