Question

Use Basic/Beginner C++ skills, code in Visual Studio 2017

When a ball is thrown vertically upward from a reference location, it travels to a maximum height and then changes direction and experiences a fall. Ignoring the air resistance and a number of other tiny influences, the location of the ball (H) and its velocity (V) at time ) can be expressed by the following expressions: Here Vo is the initial upward velocity, g is the earth gravitational acceleration (9.81 m/s) and H is measured upward from the reference location. Using the above expressions one can find the time(tm) it takes for the ball to reach its maximum height(Hm) and the time it takes for the ball to return to its reference location (tr) as listed below: tr=210/g Write a program to: 1. read the initial velocity of the ball from the keyboard and calculate t, Hm, and r and then print their values with appropriate labels. Test the program for Vo-100 m/sec read a value for the time and calculate the corresponding velocity and the height of the ball and print their values with proper labels(use Vo 100); test the program for 1-15 sec 2.

Answer 1

C++ Code for Program 1 :

#include<iostream>

using namespace std;

int main()

{

float H; // Height ( location of the ball )

float V; // Velocity

float t; // Time

float V0; // Initial Velocity

float g=9.81; // gravitaional Accelaration

cout<<"Enter initial velocity : ";

cin>>V0;

float tm = V0/g; // Calculating time taken

float Hm = (V0*V0)/2*g; // Calculating Maximum Height

float tr = (2*V0)/g; // Calculating returning time

cout<<"\nTime taken is : "<<tm<<"s\n";

cout<<"\nMaximum Height is : "<<Hm<<"m\n";

cout<<"\nReturning time is : "<<tr<<"s";

}

Output :

C++ Code for Program-2

#include<iostream>

using namespace std;

int main()

{

float H; // Height ( location of the ball )

float V; // Velocity

float t; // Time

float V0; // Initial Velocity

float g=9.81; // gravitaional Accelaration

cout<<"Enter initial velocity : ";

cin>>V0;

cout<<"Enter time : ";

cin>>t;

float tm = V0/g; // Calculating time taken

float Hm = (V0*V0)/2*g; // Calculating Maximum Height

float tr = (2*V0)/g; // Calculating returning time

V = V0-(g)*t; // Calculating Velocity at time t

H = (V0)*t-(g/2)*t*t; // Calculating Height at time t

cout<<"\nTime takenis : "<<tm<<"s\n";

cout<<"\nMaximum Height is : "<<Hm<<"m\n";

cout<<"\nReturning time is : "<<tr<<"s\n";

cout<<"\nVelocity "<<"after "<<t<<"sec is : "<<V<<"m/s\n";

cout<<"\nHeight is : "<<H<<"m";

}

Output :