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 . differential equation: help (equations) initial conditions: and help (numbers) solve the initial value problem for . help (formulas) 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