x>0 Equilibrium - position x =0 x<0
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Spring oscillations A spring hangs from the ceiling at equilibrium
with a mass attached to its end. Suppose you pull downward on
the mass and release it 10 inches below its equilibrium position
with an upward push. The distance x (in inches) of the mass from
its equilibrium position after t seconds is given by the function
x(t) = 10 sin t - 10 cos t, where x is positive when the mass is
above the equilibrium position.
a. Graph and interpret this function.
b. Find dx/dt and interpret the meaning of this derivative.
c. At what times is the velocity of the mass zero?
d. The function given here is a model for the motion of an object
on a spring. In what ways is this model unrealistic?
![x>0
Equilibrium -
position
x =0
x<0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed37f95f-d12f-49f8-9b91-b4945c8c67c3%2Fc912cb56-8cad-49d7-a526-42bfe19a6fdd%2F2nrlm5b.png&w=3840&q=75)
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