The position of a mass that is oscillating on a spring is given by x = (12.3 cm) cos[(1.26s^-1)t]. What is the velocity of the mass when t = 0.815 s? A)- 13.3 cm/s B)13.3 cm/s C)8.02 cm/s D)- 8.02 cm/s E)0 cm/s

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Quizplus · Accepted Answer

The velocity v(t) is the derivative of the position function x(t). v(t) = -12.3 cm * (1.26 s^-1) * sin[(1.26 s^-1)t]. Plugging t = 0.815 s gives v(0.815) = -13.3 cm/s.

The Position of a Mass That Is Oscillating on a Spring