The propeller of a boat at dock in the ocean will rise and fall with the waves

Math Nov 11, 2021

The propeller of a boat at dock in the ocean will rise and fall with

the waves. On a particularly wavy night, the propeller leaves its resting position and reaches a height of 2m on the peaks of the waves and -2m in the troughs. The time between the peak and the trough is approximately 3 seconds. Determine the equation of a sinusoidal function that would model this situation assuming that at , the propeller is at its resting position and headed towards the peak of the next wave.