An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm . At time minutes, its displacement from rest is 0m , and initially it moves in a positive direction.
Give the equation modeling the displacement as a function of time .

An object moves in simple harmonic motion with period 7 minutes and amplitude 17cm At time minutes its displacement from rest is 0m and initially it moves in a class=

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Answer:

Midline will be at -13 which is your vertical shift(d)

Amplitude (a) -s 13 si will move up to 0, back to midline(-13), down to -26, and then back to midline to complete the cycle. This would conform to a sine graph

There is no phase shift

The period is 6 minutes so b= 2pi/6 or pi/3

Equation therefor is y= 13sin[(pi/3)x] -13

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