Problema Solution

An object moves in simple harmonic motion with amplitude 13m and period 1 minute. At time t=0 minutes , its displacement d from rest is 0m , and initially it moves in a positive direction.

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

d=

Answer provided by our tutors

The model equation of the motion is a sine function, the amplitude is 13, the period T = 1 min = 60 s, so w = 2*pi/60 = pi/30

So the function is d = 13sin[(pi/30)t]