Because of the periodic properties of SHM, the mathematical equations that describe this motion involve sine and cosine functions. For example, if the block is released at a distance AAA from its equilibrium position, its displacement xxx varies with time ttt according to the equation

The velocity is given as -B sin(ωt) while the acceleration is given as -C cos(ωt).

Explanation:

As the complete question is not given here, a search for the question is made and the complete question is as given in the attached image.

From the given data the equation of displacement x as it varies with time is given as

Here

Now in order to find the velocity, it is given as

Suppose that

So the equation becomes

So the velocity is given as -B sin(ωt).

Now the acceleration is given as

Suppose that

So the equation becomes

the acceleration is given as -C cos(ωt).

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