Please use MATLAB. I only need help with problem $2$ and how to keep both parts on the same file.

Place all of the following problems into a single M$-$File. Make each of the problems below a

single cell in the M$-$File.

You won't be able to publish as pdf with the input or ginput command in the code. Create a live

script file for your solution and upload the $.$mlx file in Canvas.

$1$ Engineers use both English and SI $($Syst$$me International d'Unit$$s$)$ units on a regular basis.

Some fields use primarily one or the other, but many combine the two systems. For

example, the rate of energy input to a steam power plant from burning fossil fuels is usually

measured in Btu$/$hour$.$ However, the electricity produced by the same plant is usually

measured in joules$/$s $($watts$).$ Automobile engines, by contrast, are often rated in horsepower

or in $f{t}_l^{\frac{l}{s}.}.$ Here are some conversion factors relating these different power measurements:

$1kW=3412\mathrm{.}14Bt\frac{u}{h}=737\mathrm{.}56ftl{b}_{\frac{f}{s}}$

$1hp=550ftl\frac{b}{s}\frac{?}{s}=2544\mathrm{.}5Bt\frac{u}{h}$

a$)$ Generate a table of conversions from kW to hp $.$ The table should start at $0$ kW and end at

$15$ kW $.$

i$)$ Use the input function to let the user define the increment between table entries.

ii$)$ Use disp and fprintf to create a table with a title, column headings, and appropriate

spacing.

b$)$ Repeat part a using the table function.

$2$ At time $t=0,$ when a rocket's engine shuts down, the rocket has reached an altitude of

$500$ m and is rising at a velocity of $125\frac{m}{s}.$ At this point, gravity takes over. The height

of the rocket as a function of time is

$h(t)=-\frac{9\mathrm{.}8}{2}{t}^2+125t+500$ for $t>0$

Plot the height of the rocket from $0$ to $30$ seconds, and

i$)$ Use the ginput function to

$(1)$ estimate the maximum height the rocket reaches and

$(2)$ the time when the rocket hits the ground.

ii$)$ Use the disp command to report your results to the command window.

Sample answer:

The maximum height reached by the rocket is approximately meters

The time the rocket hits the ground is seconds

$[$GA: Answer for problem $2$ will vary from student to student.$]$