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Numerical Solution to the Bungee Jumper Problem. Given time increments, initial condition, a vector of parameters (mass and drag coefficient), and right-hand-side force (gravity coefficient),
Numerical Solution to the Bungee Jumper Problem. Given time increments, initial condition, a vector of parameters (mass and drag coefficient), and right-hand-side force (gravity coefficient), compute values of bungee jumper velocity (downward speed) at the given times, accounting for the discontinuity in drag coefficient when the parachute opens. Use (Eq. 1.21) to ensure that the sign of the drag force indicates the correct direction (see the Case Study in Chapra textbook Section 1.4). Chapra Problem 1.7. For the second-order drag model (Eq. 1.8), compute the velocity of a free-falling parachutist using Euler's method for the case where m=80kg and cd=0.25 kg/m. Perform the calculation from t=0 to 20sec with a step size of 1sec. Use an initial condition that the parachutist has an upward velocity of 20m/s at t=0. At t=10s, assume that the chute is instantaneously deployed so that the drag coefficient jumps to 1.5kg/m. Function Code to call your function ? 1 v = Chapra_Problem_1p7 (x,p,g) Assessment: Pretest results are not submitted for grading. To run all the tests and submit the results for grading, click Submit. Chapra Problem 1.7 for dt=1,tf=20 (Pretest) Chapra Problem 1.7 for dt=1,tf=10 (before parachute opens, negative initial velocity) Chapra Example 1.2 for v0=0,dt=2,t1=12,tf=12 (no parachute, zero initial velocity) Chapra Section 1.4 Case Study for v0=40,dt=2,t1=tf=4,m=68.1 Chapra Example 1.2 for v0=0,dt=1,t1=10,tf=12 (after parachute opens)
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