Write these functions in Python: Functions that do I$/$O:

showWelcome $()$

Display the welcome message. See the sample program for the exact text.

getFuel $()$

This function has no parameters and a return type of int. This function must prompt a user for positive integer value and return it$.$ It must display an error message if the user enters a negative or zero value and re$-$prompt for a valid value. See the sample program for the exact text of the prompt and error message.

getAltitude$()$

This function must prompt a user for a real value between $1$ and $9999,$ inclusive. It must display an error message if the user enters a value outside this range and re$-$prompt for a valid value. See the sample program for the exact text of the prompt and any error message$($s$).$

displayLMState$($elapsedTime$,$ altitude, velocity, fuelAmount, fuelRate$)$

This function must display the state of the LM as indicated by the parameters. The parameters are:

an int representing the elapsed time the LM has been flown;

a float representing the LM$\text{'}$s altitude;

a float representing the LM$\text{'}$s velocity;

an int representing the amount of fuel on the LM;

an int representing the current rate of fuel usage.

See the sample program for the exact text and format of the display.

getFuelRate $($currentFuel$)$

I$/$O $-$ The parameter is an int representing the current amount of fuel in the LM$.$ The function prompts the user for an integer value and makes sure it is between $0$ and $9,$ inclusive. It must display an error message if the user enters a value outside this range and re$-$prompt for a valid value. The function must return the lesser of the user$-$entered value or the amount of fuel remaining on the LM $($value passed in as a parameter$).$ The user cannot use more fuel than is left on the lunar lander! See the sample program for the exact text and formatting of the prompt and any error message$($s$).$

displayLMLandingStatus $($velocity$)$

This function, as its name implies, displays the status of the LM upon landing. There are three possible outputs depending of the velocity of the LM at landing, they are:

Status at landing $-$ The eagle has landed!

Status at landing $-$ Enjoy your oxygen while it lasts!

Status at landing $-$ Ouch $-$ that hurt!

Print the first message if the final velocity is between $0$ and $-1$ meters per second, inclusive.

Print the second message if the final velocity is between $-1$ and $-10$ meters per second, exclusive

Print the third message if the final velocity is $-10$ meters per second

See the sample program for the exact text and formatting.

Functions that Calculate:

updateAcceleration $($gravity$,$ fuelRate$)$

The parameters are:

a float representing the gravitational constant for the moon $($use a value of $1\mathrm{.}62$ when calling this function in Part $2)$;

an int representing the current rate of fuel usage

The function calculates and returns the acceleration using the formula

acceleration ${?}_{tpl}=$ gravitational constant rate of fuel consumption $(\frac{\text{:}{?}_{tpl}}{5}\}$

updateAltitude$($altitude$,$ velocity, acceleration$)$

The parameters are:

a float representing the current altitude;

a float representing the current velocity;

a float representing the current acceleration.

The function calculates and returns the new altitude based on the provided inputs and the formula

altitude ${?}_{tp1}=$ altitude ${?}_{tp0}+$ velocity ${?}_{tp0}+(acceleratio\frac{n_{tp1}}{2})$

Remember, however, that the surface of the moon stubbornly limits the altitude to nonnegative values, and your code must do the same.

updateVelocity$($velocity$,$ acceleration$)$

The parameters are:

a float representing the current velocity;

a float representing the current acceleration.

The function calculates and returns the new velocity based on the provided inputs and the formula:

$()tp1(()tp0)tp1$

updateFuel$($fuel$,$ fuelRate$)$

The parameters are:

an int representing the current amount of fuel on the LM;

an int representing the current rate of fuel usage.

The function calculates the remaining fuel. Note: This is a trivial function as long as your getFuelRate function behaves correctly.

fuel ${?}_{tp1}=$ fuel ${?}_{tp0}-$ rate of fuel consumption ${?}_{tpl}$