BIOE$2062$ Laboratory Exercise and Homework $-20\mathrm{.}02\mathrm{.}2024$

$2.$ Write a MATLAB script for the numerical solution given below and find the speed values at $0$ to $12$ sec$.$ with $2$ sec$.$ increment.

$2\mathrm{.}1$ Use the below equation and check your speed values with the table given to the right:

Numerical Solution to the Falling Parachutist Problem

Problem Statement. Perform the same computation as in Example $1\mathrm{.}1$ but use Eq$.(1\mathrm{.}12)$ to compute the velocity. Employ a step size of $2s$ for the calculation.

Solution. At the start of the computation $)=(0,$ the velocity of the parachutist is zero. Using this information and the parameter values from Example $1\mathrm{.}1,$ Eq$.(1\mathrm{.}12)$ can be used to compute velocity at $t_{i+1}=2s$ :

$v(t_{i+1})=v(t_i)+[g-\frac{c}{m}v(t_i)](t_{i+1}-t_i)$

$2\mathrm{.}2$ Using legends, plot the figure below with your MATLAB script $($please ignore the annotations$).$

Note:

You will submit only one MATLAB $.$m file

Two questions will be on two different script sections

Make sure your script can run on a different computer before you submit it$.$