Question Detail

The equation is x = 3 + 4 cos(3πt). The term '3' is the equilibrium position (mean position). The amplitude is the coefficient of the cosine term, which is 4 mm = 0.004 m. The options are in meters. 4 mm = 0.004 m. None of the options match. If the equation is x = 3 sin(3πt) + 4 cos(3πt), the amplitude is √(3² + 4²) = 5 m. But the given equation is x = 3 mm + 4 cos(3πt). This is a constant plus a cosine term. The amplitude is 4 mm. But the options are in meters, so 0.004 m. None match. If the equation is x = 3 sin(3πt) + 4 cos(3πt), the amplitude is 5. But the equation has '3 mm', so the amplitude is 4 mm. The options might be misprinted. The amplitude is 4 mm.