P L E A S E H E L P Suppose a sound wave has a period of 0.005 seconds and an amplitude of 2 pascals. Explain whether the function P(t)=2sin(200πt) could be used to model the sound wave where P is the air pressure in Pascals from the sound wave after t seconds.
1) No, since the period is 0.005 seconds, the equation of the function is P(t)=2sin(400πt)
2) Yes, because an amplitude of 2 means that the coefficient of sine is 2, and a period of 0.005 means that the coefficient of t must be π0.005=200π.
3) No, since the amplitude is 2, the coefficient of sine is 1. Since the period is 0.005 seconds, the equation of the function is P(t)=sin(200πt).
4) No, since the period is 0.005 seconds, the equation of the function is P(t)=2sin(0.005πt).