An object makes simple harmonic motion along the x-axis. The displacement of the object changes with time according to the equation x= 4Cos(πt+π/4) . In this equation, t is time in seconds and the angles in parentheses are in radians. Find the velocity of the object at any given instant.    a) -4πSin(πt+π/4)   B) 1/2s^-1  NS) -4π^2Cos(πt+π/4)   D) 4  TO) π rad/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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An object makes simple harmonic motion along the x-axis. The displacement of the object changes with time according to the equation x= 4Cos(πt+π/4) . In this equation, t is time in seconds and the angles in parentheses are in radians. Find the velocity of the object at any given instant.

 
 a)

-4πSin(πt+π/4) 

 B)

1/2s^-1

 NS)

-4π^2Cos(πt+π/4) 

 D)

4

 TO)

π rad/s

 

 
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