A kilogram object suspended from the
end of a vertically hanging spring stretches the spring
centimeters. At time , the
resulting mass-spring system is disturbed from its
rest state by the force . The force
is expressed in Newtons and is positive
in the downward direction, and time is measured in
seconds.

Determine the spring constant .
Newtons / meter

Formulate the initial value problem for ,
where is the displacement of the object
from its equilibrium rest state, measured positive
in the downward direction. (Give your answer in terms of
.)

Plot the solution and determine the maximum
excursion from equilibrium made by the object on
the time interval . If
there is no such maximum, enter NONE.
maximum excursion =
meters
help (numbers)