Sinusoidal Functions

Question

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 t = 0 , the propeller is at its resting position and headed towards the peak of the next wave.

I need help figuring out the equation.

Answer 1

The amplitude is 2 and the wave length is 6.

The function is h(t) = 2 sin(πt/3)