QUESTION $1.$ Submit all steps, code, script, solutions, etc. $[$Mark: $3$;$1\mathrm{.}5$ each$]$ Write a simple MATLAB program to do the following.

Part I$)$ Compute the sum of the $9$ digits of your student ID$.$ Assume this sum to be temperature in degrees Fahrenheit $F,$ convert it into degrees Celsius $C.$ For example, if your ID is $110733456,$ then the sum $=1+1+0+7+3+3+4+5+6=30$ or $30F.$

Part II$)$ Compute the sum of the squares of the $9$ digits of your student ID$.$ Assume this sum to be length in inches $[$in$],$ convert it into length in centimeters $[$cm$].$ For $110733456,$ the sum of the $9$ digits $=1^2+1^2+0^2+7^2+3^2+3^2+4^2+5^2+6^2=146$ or $146$ in$.$

QUESTION $2.$ Submit all steps, code, script, solutions, plots, etc. $[$Mark: $4\mathrm{.}5$; $1\mathrm{.}5$ each$]$ A $2-$kg durian is falling freely under gravity $g=9*a_1{a}_2\frac{m}{s^2}.$

Part I$)$ Use a time step $t=1s$ to deduce the velocity after $10s.$ Plot the velocity with respect to time from o to $1a_{3}s.$

Part II$)$ Use a time step $t=1s$ to deduce the distance traveled after $10s.$ Plot the distance with respect to time from o to $1{}_{3}s.$

Part III$)$ Use a time step $t=0\mathrm{.}5s$ to deduce the distance traveled after $10s.$ Plot the distance with respect to time from o to $1a_{3}s.$

Here, ${}_1$ and ${}_2$ are the largest and second largest digits, respectively, of your student ID$.$ For example, ID $=110733456$ gives $a_1=7,a_2=6,$ and $a_3=5,$ that is$,g=9\mathrm{.}76\frac{m}{s^2}$ and $15s.$

QUESTION $3.$ Submit all steps, code, script, solutions, plots, etc. $[$Mark: $2\mathrm{.}5]$ Someone has an accident in a swimming pool. The disappearance or decay rate of the contaminant can be estimated as

$d\frac{C}{d}t=-k_{\text{d}\text{e}\text{c}\text{a}\text{y}}C$

where $C$ is the concentration of the contaminant, $t$ is time, and the decay constant, $k_{\text{d}\text{e}\text{c}\text{a}\text{y}}=0\mathrm{.}001a_1{s}^{-1}.$

How long should the pool be vacant if the initial concentration is $7a_{2}00ppm$ and the safety threshold is $50ppm?$ Plot the concentration with respect to time for this range of concentration.

Here, ${}_1$ and ${}_2$ are the largest and second largest digits, respectively, of your student ID$.$ For example, ID $=110733456$ gives $a_1=7$ and ${}_2=6,$ that is$,k_{\text{d}\text{e}\text{c}\text{a}\text{y}}=0\mathrm{.}0017s^{-1}$ and $7600ppm.$