Give the equation modeling the displacement as a function of time.?

Question

An object moves in simple harmonic motion with period 6 minutes and amplitude 12m. At time=0 minutes, its displacement d from rest is 0m, and initially it moves in a negative direction.

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

Answer 1

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x = 12*sin(2πt/6 - π)

for x in meters and t in minutes.

Answer 2

Let the displacement y be= a sin wt + b cos wt

Put the values a and b.

At t=0, y=0. This possible when b=0

Answer is y = a sin wt. Put the values y=12 sin (t/6).  Initially, it moves to left.

y= -12 sin (t/6). In angles,  you can write it as

y= -12 sin (2pi t/6)= 12 sin (2pi t/6+pi)

This seems to be the answer.