c++ falling distance When an object is falling because of gravity, the following formula can be used to determine the distance the object falls in a specific time period:\[ d = \frac{1}{2}gt^2 \]The variables in the formula are as follows: \( d \) is the distance in meters, \( g \) is 9.8, and \( t \) is the amount of time, in seconds, that the object has been falling.Write a function named `fallingDistance` that accepts an object’s falling time (in seconds) as an argument. The function should return the distance, in meters, that the object fell during that time interval. Write a program that demonstrates the function by prompting the user for the total time and calling the function in a loop that passes the values 0 through the time in increments as the argument and displays the elapsed time and return value. Output should be formatted as shown below.**INPUT VALIDATION:** The time entered by the user should be a number, and it should be greater than 0.### Sample Output#### Case 1:```Please enter the total falling time: 20Time Distance**************************0.00 0.005.00 122.5010.00 490.0015.00 1102.5020.00 1960.00```#### Case 2:```Please enter the total falling time: 23Time Distance**************************0.00 0.005.00 122.5010.00 490.0015.00 1102.5020.00 1960.0023.00 2592.10```#### Invalid Input Handling:```Please enter the total falling time: -1Your time should be greater than 0Please enter the total falling time: aThat is not a number! Please try again.Please enter the total falling time: 2```The samples demonstrate the program's ability to calculate and display the distance fallen at regular intervals of time and handle invalid input scenarios effectively.

Below is the required C++ program: - Approach: - Import the header file and use the namespace. Give the prototype of the function fallingDistance. Define the main function. Declare the variables as per the requirement. Ask the user to enter the falling time and read the value. Use the while loop to continuously ask the user to enter the value if the user enters bad input. Inside the loop, if-elseif-else is used to check for various conditions. If-elseif is used to check for bad inputs. In the else part call the function fallingDistance and store the value and display the result. Define the function fallingDistance that accepts time and return the falling distance.Program: - //Import the header file #include <iostream> //Use the namespace std using namespace std; //Prototype of the function fallingDistance double fallingDistance(int time); //Define the main function int main() { //Declare the variables double a; //to store the falling time double t; //to store the falling distance //Ask the user to enter the falling time cout << "Please enter the total falling time: "; //Read the value cin >> a; //Use the loop to continuosly ask the user if he enters bad input while(true) { //if user enters a character if(cin.fail()) { cin.clear(); cin.ignore(numeric_limits<streamsize>::max(),'\n'); cout<<"This is not a number! Please try again: \n"<<endl; cout << "Please enter the total falling time: "; cin >> a; } //if user enters 0 or less than 0 else if(a<=0) { cout << "Your time should be greater than 0\n"; cout << "Please enter the total falling time: "; cin >> a; } //when users enters a number greater than 0 else { //Display the header cout << "Time\t\tDistance" << endl; cout << "*****************************" << endl; //Use the loop to iterate for(double i = 0; i <= a; i += 5) { //Call the function fallingDistance and store the value t = fallingDistance(i); //Display the result printf("%.1f \t\t %.2f",i,t); //for next line cout << "\n"; } break; } } return 0; } //Define the function fallingDistance that accepts time and return the falling distance double fallingDistance(int time) { //Calculate and return the falling distance return 0.5 * 9.8 * time * time; }Output: -