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There is an object that weighs 8 pounds that stretches a spring 6 inches. The system...

There is an object that weighs 8 pounds that stretches a spring 6 inches.

The system is inside a medium that transmits a force of 2ft-lb when the speed of the object is 8ft/s.

We pull down the object 4 in and set in motion with an upward velocity of 2 ft/s.

Question: a) Setup the initial value problem that describes the motion of the object

b) Solve the differential equation

Math   Calculus   
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