Please write C$++$ programs for the following problems: $1.$ The following formula can be used to determine the distance an object falls due to gravity in a specific time period:d$=0\mathrm{.}5*$g$*$t$*$tThe variables in the formula are as follows:d is the distance in meters,g is $9\mathrm{.}8,$and t is the time in seconds that the object has been falling.Write a function named "fallingDistance" that accepts an objects falling time $($in seconds$)$ as an argument. The function should return the distance, in meters, that the object has fallen during that time interval. Write a program that demonstrates the function by calling it in a loop that passes the values $1$ through $10$ as arguments and displays the return value.