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posted by  engr. fresh on 11/6/2009 8:11:10 PM  |  status: Live  |  Earned Karma: 67

Modeling with Higher order DE

Course Textbook Chapter Problem Needs by
Calculus Based Physics N/A N/A N/A 11/16/2009 at 6:00:00 PM
Question Details:
 
A mass weighing 13 pounds is suspended from a spring. This stretches the spring 5 feet.
The ball is started 5 feet above the equilibrium position with a upward velocity of 3 feet per second.
The air resistance (in pounds) of the moving mass numerically equals 4 times its velocity (in feet per second).
Take as the gravitational acceleration 32 feet per second.
Use Hooke's law to calculate the spring constant: k = ???  The mass measured in slugs equals m = ???
Suppose that after t seconds the ball is x feet above its rest position.
Derive an Initial Value Problem for x
x(0) =__,           ____               Find x in terms of t:     x = ???
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