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An object undergoing a simple harmonic motion has its greatest displacement, 0.2 m at t=0. Its...

An object undergoing a simple harmonic motion has its greatest displacement, 0.2 m at t=0. Its characteristic frequency is 8 Hz. (a) Find the earliest times at which the displacements will be 0.1m, 0m, -0.1m, and -0.2m. (b) Find the velocities at those times.

I know the correct answers to this problem, I just am having a hard time understanding the thought process to get the equation you need to solve for the times and the velocities. Does anyone have a good reasoning method? Thank you!

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