An object moves in simple harmonic motion with period 6 minutes and amplitude 19m. At time t =0 minutes, its displacement d from rest is −19m, and initially it moves in a positive direction.

Question

Give the equation modeling the displacement d as a function of time t .

Answer 1

x = 19sin(2π/6t - π/2); x = 19sin(π/3t - π/2); x(0) = - 19 m; t is time in min

v(t) = x'(t) = 19cos(π/3t - π/2)·π/3; v(0) = 19π/3 > 0 m/s