* write a MATLAB Program to solvu th. byst4un of ODEs Ruljet to an initial pasition and an initial relocity asing Ealers's Forward Integration Given the ollowing values including the data for three different bungee cords, graph the position and the veloeitye the tinse isterval (tt-).Choose a time step Δt that makes the graphs relatively ooth. Make sure to label your graphs. -zf1-0)=0 -会(-0)-D m-80 g) -L 20 (m) (Jump, from top) (Starts at mst) Analysis of three bungee cords Cord Stiff Medium Soft 255 204 162 Denver CO 149 4.88 4.88 7 Elongation, x, Notice that the spring force k is given a piecewise of two linear functions. This represents the Nou-Linearity of the busagee. Mabe sue to incurporate this. Present your work in a thorongh report (engineering problem format). A K Bungee Jumper Busness Man W mg- weight force m-mass of jumper .g-aceel of gravity * faaターC4暗-force froin air resistance (siga depends on sign of velocity) *fpne, = k(1-1)-force from elastic cord (only pretent whes:>L) *Jaampi.,-en-aanping fece fram .lastic, cord (caly present when # > L) Write Newton's Seoond Law to derive the equations of motion. Notice there are four canes based on the position and velocity of the jumper. W - Jdrag-Jspring- Idampingma case 2:Le- W +fdra-fopring ampingma Using the sign function the 4 cases can be reduced to 2 cases shown in the Ordinary Differenti Equations below Theresore we need to keep track of the vertical position z. To do this e another ODE Bungee Not in Tension Bungee in Tension Statie Eluilibrium (-L) Free Body Diagrams (4 cases) irag spring : 훑(+) drag drag pring W = mg W=mg * write a MATLAB Program to solvu th. byst4un of ODEs Ruljet to an initial pasition and an initial relocity asing Ealers's Forward Integration Given the ollowing values including the data for three different bungee cords, graph the position and the veloeitye the tinse isterval (tt-).Choose a time step Δt that makes the graphs relatively ooth. Make sure to label your graphs. -zf1-0)=0 -会(-0)-D m-80 g) -L 20 (m) (Jump, from top) (Starts at mst) Analysis of three bungee cords Cord Stiff Medium Soft 255 204 162 Denver CO 149 4.88 4.88 7 Elongation, x, Notice that the spring force k is given a piecewise of two linear functions. This represents the Nou-Linearity of the busagee. Mabe sue to incurporate this. Present your work in a thorongh report (engineering problem format). A K Bungee Jumper Busness Man W mg- weight force m-mass of jumper .g-aceel of gravity * faaターC4暗-force froin air resistance (siga depends on sign of velocity) *fpne, = k(1-1)-force from elastic cord (only pretent whes:>L) *Jaampi.,-en-aanping fece fram .lastic, cord (caly present when # > L) Write Newton's Seoond Law to derive the equations of motion. Notice there are four canes based on the position and velocity of the jumper. W - Jdrag-Jspring- Idampingma case 2:Le- W +fdra-fopring ampingma Using the sign function the 4 cases can be reduced to 2 cases shown in the Ordinary Differenti Equations below Theresore we need to keep track of the vertical position z. To do this e another ODE Bungee Not in Tension Bungee in Tension Statie Eluilibrium (-L) Free Body Diagrams (4 cases) irag spring : 훑(+) drag drag pring W = mg W=mg