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A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m. The velocity is given by the expression v(t) = (12.8 cm/s) cos(ω t + π/4). What is the maximum velocity of the mass?

Question

A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m. The velocity is given by the expression v(t) = (12.8 cm/s) cos(ω t + π/4). What is the maximum velocity of the mass?

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Solution

The maximum velocity of the mass is given by the amplitude of the cosine function in the expression for v(t). In this case, the amplitude is 12.8 cm/s. Therefore, the maximum velocity of the mass is 12.8 cm/s.

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