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A mass weighing 16 pounds is attached to a spring and stretches it 4 feet. You...

A mass weighing 16 pounds is attached to a spring and stretches it 4 feet. You release the mass from rest

one foot below equilibrium.

(a) What is the initial value problem that models this scenario?

(b) What is the equation of motion?

(c) What is the period of motion?

(d) Assume now that there is a damping force equivalent to 6 times the velocity. Repeat parts (a) and (b).

(e) Now assume there is still the damping force, but there is also an external driving force equal to f(t)=t.Repeat parts (a) and (b).

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