When an object is falling because of gravity, the following formula can be used

Question

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 = ½ (gt2)
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.
Assume you are standing atop the Engineering Research Center, holding a ketchup-filled water balloon.
The dean is walking by in a bright, clean white hat, soon to arrive right underneath your perch. And
temptation strikes. And is irresistible.
Assume the Dean is walking X meters / second, and you are now standing Y meters above the Dean’s
path. You try to drop the balloon when the Dean is Z meters away from the spot below you, and you must
guarantee the strike. Write a program to determine Z using inputs X and Y given by cin.
You have to use a function to calculate the number of seconds for the water balloon to hit the Dean, and
another function to calculate the Z value for you to drop the water balloon. So, including the main
function, your program must contain at least three functions. Finally, you use cout to display the Z value.
Do NOT use X, Y, Z as variable names in your program, as these are not meaningful identifier.

Explanation / Answer

//Ans to ques

#include<iostream.h>
#include<math.h>

float time_to_hit(float height) //Finds time of fall
{
float time;
time = sqrt((2*height)/9.8);
return(time);
}

float distance_dean(float time,float speed) //Calculates when to throw
{
float distance;
distance = time*speed;
return(distance);
}

int main()
{
float dist_dean,height_above,speed_dean,time;
cout<<"Enter Speed at which dean is travelling ";
cin>>speed_dean;
cout<<" Enter Heaight above which you are standing ";
cin>>height_above;
time = time_to_hit(height_above); //Call func to find falling time
dist_dean = distance_dean(time,speed_dean); //Call func to find disance away to throw
cout<<" Distance of dean from building when you release water balloon is : "<<dist_dean;
return(0);
}

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