1. A mass weighting 8 pounds is suspended from a spring whose spring constant is 9...

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1. A mass weighting 8 pounds is suspended from a spring whosespring constant is 9 lb/ft. There are no damping or
external forces. The mass is then released from an initialposition of 5 feet above the equilibrium position with an
initial downward velocity of 30 ft/sec. (Note: Use g = 32ft/sec!)
a) Write down an initial value problem modeling thissituation.
b) Find the equation of motion.
c) What are the amplitude, period, and frequency of the simpleharmonic motion?
d) At what time does the mass pass through the equilibriumposition heading upward for the first time, if ever?
Explain your answer.

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