Solve the problem.A spring with a spring constant k of 8 pounds per foot is loaded with a 16-pound weight and allowed to reach equilibrium. It is then displaced 4 feet downward and released. If the weight experiences a retarding force in pounds equal to 0.15 times the velocity, find the equation of motion.

A. y ? e-0.15t(4 cos 4t + 0.15 sin 4t)
B. y ? e-0.075t(4 cos 4t + 1.2 sin 4t)
C. y ? 4 sin 4t + 1.2 cos 4t
D. y ? e-0.15t(4 sin 4t + 0.15 cos 4t)


Answer: A

Mathematics

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