Question

Find a model for simple harmonic motion if the position at t = 0 is 2, the amplitude is 2 centimeters, and the period is 6 seconds.

Answer 1

x=Acosωt
where
A=2 cm
ω=2\(\pi\)/6 rad/s

You can see that at t=0 ,x=2 cm

Answer 2

x=Asin\(\omega\)(t+\(\alpha\))
t=0
x=2 cm
A=2cm
\(\omega=2\pi/6\) rad/s
so...\(\alpha\)=90 degree
so the equation is
x=Asin\((2\pi/6*t+\pi/2)\)
or x=Acos\(2\pi/6*t\)