Abuoy starts at a height of 0 in relation to sea level and then goes up. its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds?

Step-by-step explanation:

This problem is about an harmonic movement. The definition, that relates the given variables in this kind of movement is:

Where is the vertical displacement, is the time and

So, we just have find the angular frequency and then replace all given values:

In this case, the period is 8 seconds, because according to the problem, half period is 4 second, from the highest point to the lowest, which is half of the complete period.

Now, replacing values:

This expression, where is the height or vertical displacement, gives the height at any point.

final answer is : )