The velocity of a vibrating object changes as a function of time as v=−(0.6m/s)cos(2πt).v=−(0.6m/s)cos⁡(2πt).   Find the position as a function of time. At time t=0x=0.t=0x=0. Express your answer in meters in terms of the variable t, and appropriate constants. ***   The correct answer involves the variable t.  x(t) = ? m   ***

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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Problem 18PQ: Acceleration a has the dimensions of length per time squared, speed v has the dimensions of length...
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The velocity of a vibrating object changes as a function of time as v=−(0.6m/s)cos(2πt).v=−(0.6m/s)cos⁡(2πt).
 
Find the position as a function of time. At time t=0x=0.t=0x=0.
Express your answer in meters in terms of the variable t, and appropriate constants.
***   The correct answer involves the variable t.  x(t) = ? m   ***
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