A buoy floating in the sea is bobbing in simple harmonic motion with amplitude 13 in and period 0.25 seconds. Its displacement d from sea level at time t=0 seconds is 0in, and initially it moves downward. (Note that downward is the negative direction.)Required:Give the equation modeling the displacement d as a function of time t.

The equation is

Step-by-step explanation:

From the question we are told that

      The  amplitude is  

       The period is  

Generally the displacement function for a simple harmonic motion is mathematically represented as

Here   is the angular frequency which is mathematically represented as

substituting values

Given that at t =  0  the displacement is equal to 0 it means that there is no phase shift and also  we are told that it is initially moving downward which implies that its Amplitude is  

So the equation modeling the displacement d as a function of time t is mathematically represented as

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