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Homework 792.450 / 550 Math ModelingSolutions2.A man of massmjumps from a bridge attached to a bungee cord of stiffnessk(unitsm/t2) and lengthL. Underthe influence of gravityghe falls to a maximum distanceHbelow the bridge.(a) Dimensional analysis shows thatH=LF(mg)for some functionF. Sketch the graph ofF.(b) Show thatvdvdxis the acceleration.(c) Solve equation (1).Integrate with respect tox. . .(d) Usev=2gLwhenx= 0to determine the constant of integration in (c).