$1.$Write a program to provide information on the height of a ball

thrown straight up into the air. The program should request as input the initial height,

h feet, and the initial velocity, v feet per second. The height of the ball after t seconds

is h $+$ vt $-16$t$^2$ feet. The program should perform the following two calculations

$($a$)$ Determine the maximum height of the ball. Note: The ball will reach its maximum

height after v$/32$ seconds.

$($b$)$ Determine the height of the ball at $0\mathrm{.}1$seconds.

A function named getInput should be used to obtain the values of h and v$,$ and that

function should call a function named calculateheight to calculate the height of the ball.

Example

Enter the initial velocity of the ball: $34$

The maximum height of the ball is $23\mathrm{.}06$ feet.

The height of the ball at $0\mathrm{.}1$ seconds is : $8\mathrm{.}24$ feet $.$

$2.$Future Value of a Bank Deposit The following program uses the function futureValue. The function computes the balance in a savings account given the amount deposited $($p$),$ the annual rate of interest $($r$),$ the number of times interest is compounded per year $($n$),$ and the number of years that interest accrues $($t$).$

def futureValue$($p$,$ r$,$ n$,$ t$).$ Have a main function that will get P$,$ r$,$ n and t$.$ Then pass the values to futureValue$($p$,$ r$,$ n$,$ t$).$ Print out A$($final deposit$)$

$q,A=P(1+\frac{r}{n}{)}^{nt}$

$A=$ final amount

$P=$ initial principal balance

$r=$ interest rate

$n=$ number $of$ times interest applied per time period