An object moves in simple harmonic motion with amplitude 14cm and period 0.1 seconds. At time t=0 seconds, its displacement d from rest is 0cm, and initially it moves in a negative direction.
Give the equation modeling the displacement d as a function of time t.
since d = 0 when t = 0
the sine function appears suitable
We are given all the needed data
a = 14
period = 2π/k
.1 = 2π/k
k = 2π/.1 = 20π
start with d = 14 sin (20π t)
but we are told d starts in a negative direction , so
d = -14 sin(20π t) should do it