Velocity of a sinussodial function

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The discussion revolves around a sinusoidal function defined as x = (4.7 m) cos[(0.2 rad/s)(4.5 s)], with a focus on determining the magnitude of velocity v. Participants question the role of the "4.5 s" parameter, suggesting that a time variable 't' should be included for clarity in the function. The confusion stems from the expectation that the position should explicitly depend on time. This highlights the importance of correctly representing time-dependent functions in physics. Clarifying the function's parameters is essential for accurately calculating velocity.
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Homework Statement

A sinusoidal function of time is
x = (4.7 m) cos[(0.2 rad/s)(4.5 s)] .
Find the magnitude of the velocity v.



Homework Equations





The Attempt at a Solution

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What's the "4.5 s" parameter in the cosine function? Shouldn't there be a 't' variable in there if the position is a function of time?
 
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