The displacement, d , in millimeters of a tuning fork as a function of time, t , in seconds can be modeled with the equation d is equal to 0 point 4 sine open paren 1760 pi t close paren What is the maximum displacement of the tuning fork?

The sine function ranges from −1 to 1, so the greatest value of 0.4 sin(1760πt) is 0.4 × 1 = 0.4 mm. The coefficient 0.4 is the amplitude, which is the maximum displacement from equilibrium. Therefore, the maximum displacement is 0.4 mm, choice C.

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