Precalculus help

Question

Your fishing bobber oscillates in simple harmonic motion from the waves in the lake where you fish. Your bobber moves a total of 1.5 inches from it hight point to its low point and returns to its high point every 3 seconds. Write an equation modeling the motion of your bobber if it is at its high point at time t = 0.

Answer 1

Amplitude = A = 1.5 / 2 = .75 , D = 0 (since its average height is 0) , since period = 2π/B that makes B = 2π/3 .

Because the bobber is at its high point at t = 0, we can use a + cosine function without requiring a phase shift.

h(t) = .75cos(2π/3·t)