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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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