You have been asked to write a C$++$ program to determine how far a car has travelled $($distance$)$ after time $t$ seconds, assuming that the car is initially traveling at a speed $V_0$ and the driver applies the brake to decelerate at a uniform rate of $a.$ Using the following formula:

$(10$ Pt$.)$

distance $d=V_0**t-0\mathrm{.}5**a**t^2$

Speed $V=V_0-a**t$

For this programming program

$($a$)$ How many inputs does this problem have? List them:

$($b$)$ How many outputs are required? List them:

$($c$)$ For the case where $V_0=126k\frac{m}{h}$ and $a=2\mathrm{.}5\frac{m}{s^2}$; How far will the car travel during the first one second, and during the first two seconds?

$($d$)$ How far $($m$)$ and how long $($s$)$ will the car travel before coming to a stop? $[$Hint: Remember units conversion.$]$