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Classical Mechanics

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Moderate

Oscillations: When is the Velocity Zero?

CLMECH-M8OWCA

An object exhibits simple harmonic motion. The position of the object as function of time is:

$$y(t)=A\cos\left(2\pi\,f\,t\right)$$

with $f=60\,Hz$ and $A = 5\,cm$.

Which of the times listed below (units are seconds) are two CONSECUTIVE times when the object's velocity is zero?

A

$0\,s,\,\frac{1}{60}s$

B

$\frac{1}{120}s,\,\frac{1}{60}s$

C

$\frac{1}{60}s,\,\frac{1}{30}s$

D

$\frac{1}{120}s,\,\frac{1}{40}s$