(Solved) : Parachutist Jumps Plane Velocity Governed Following Ode Dv Dt Eqn 1 Initial Condition 0 0 Q36782283 . . .
this is a matlab handwriting question. about ODE
A parachutist jumps out of a plane and her velocity is governed by the following ODE dv dt Eqn 1 Her initial condition is (0)-0, g-9.81 and C-0.004 (C in eqn 1 is a product of air density, the parachutist’s drag coefficient and cross-sectional area divided by her mass). Q1a Using the Taylor series approach described in the notes for Workshop 10 (but discussed in Workshop 11), derive a numerical scheme for this equation that has a leading order error term of Q1b By hand, integrate equation 1 using the Midpoint method for three steps, with a time-step of 10 seconds. Show all your working and include this in your PDF. By examining equation 1, you should be able to determine the terminal velocity of the parachutist. How far away from terminal velocity is the answer you just calculated by hand (write this as a percentage difference). (HINT: what does “terminal velocity” mean and what does equation 1 look like in this limit?) Show transcribed image text
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