A mass of 95 grams stretches a spring by 5 cm. (Note that this means the...

 

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A mass of 95 grams stretches a spring by 5 cm. (Note that this means the forces balance, and thus mg = kx where m = 95 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 5 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 18 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is A mass of 95 grams stretches a spring by 5 cm. (Note that this means the forces balance, and thus mg = kx where m = 95 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 5 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 18 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is

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