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

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 .

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- VamanLv 72 months ago
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.

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