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A 0.8 kg mass attached to a vertical spring undergoes simple harmonic motion with a frequency...

A 0.8 kg mass attached to a vertical spring undergoes simple harmonic motion with a frequency of 0.5 Hz. a) What is the period of the motion and the spring constant? b) If the amplitude of oscillation is 10 cm and the mass starts at its lowest point at time zero, write the equation describing the displacement of the mass as a function of time and find the position of the mass at times 1, 2, 1.5 s, and 1.25 s. c) Write the equation for the velocity of the mass as a function of time and find its speed at the times given in part (b)? (Be careful to check that you have the correct starting speed at time zero.)

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