If the velocity of a particle is nonzero, can the particle's acceleration be zero? explain

The correct answer is yes, the acceleration can be zero. We know that velocity is the derivative of position and acceleration is the derivative of velocity. Therefore, we are trying to determine if there is any nonzero velocity function that we can take the derivative of to get 0. Any velocity function that is a coefficient such as v(t)=5, would have an acceleration of 0 because the derivative of a constant is always 0.

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3is a crest4 is a trough 2 is the amplitude 1 is the wavelength