Question 2 Consider the bungee jumper problem as depicted in the figure below. The parameters of the of the system are provided in the table below. The problem can be reduced to a system of three simultaneous equations for the three unknown displacements. a) What are the three equations that represent the steady state of the system? (Show your work.) Express the system of equations in matrix format. Using MATLAB, calculate the matrix inverse to answer the following questions b) c) i. Determine the change in position of the first jumper if the mass of the third jumper is increased by 20 kg. Round the final answer to two decimal places What force must be applied to the third jumper so that the final position of the third jumper is 140 m below the second jumper? Round the final answer to two decimal places ii. JumperMass (kg)Spring Unstretched Constant Cord Length (N/m) Top (1) Middle (2) Bottom (3) 60 50 20 70 100 20 80 50 20 (a) Unstretched (b) Stretched