% Create a program to plot the motion of the ping pong ball with drag. % The program will take inputs for velocity in m/s and angle of launch. % note that with a high speed camera I estmated a launch speed for a ping % pong ball could be 30 m/s. clear clc vel=input('input the initial velocity in m/sec: '); angle=input('input the angle of launch in degrees: '); % convert the degrees into radians so MATLAB likes it angle=angle*pi/180; % set initial position and time x(1)=0; % meters y(1)=.01; % meters time(1)=0; % seconds mass=.00247; %kg ping pong ball .00247 Kg g=-9.8; % m/sec^2 c=-0.0005; % coefficient of drag with density and area in this constant index=1; % so I can load an array for plotting % start to increment the motion velx=vel*cos(angle); VelocityX(1)=velx; vely=vel*sin(angle); VelocityY(1)=vely; % set a time step deltaTime=.001 % seconds height=y(1); while height>=0 % it has not hit ground yet index=index+1; % break velocity into its components velx=vel*cos(angle); vely=vel*sin(angle); % ******************************************************* % use an if/else statement to check to see if the ball is moving % down (negative). If it is, then drag has an opposite sign % as gravity in the acceleration formula. Otherwise gravity % and drag have the same sign. Calculated the acceleration % in the y direction inside the if/else statement. % Now calculate the acceleration in the x . % ******************************************************* % ***************************************************** % calculate the new velocity at the end of the time step % this will have X and Y components, so you need a variable % for each. One is velFinalX and the other is velFinalY. % ******************************************************* % ****************************************************** % Get a new velocity vector and angle given the X and Y % The velocity is the variable "vel" and angle is "angle" %******************************************************* % now save my values at this time step time(index)=time(index-1)+deltaTime; VelocityX(index)=velFinalX; VelocityY(index)=velFinalY; % and distance numbers distX=velx*deltaTime; distY=vely*deltaTime; % save distance values x(index)=x(index-1)+distX; y(index)=y(index-1)+distY; height=y(index); end plot(x,y) title('distance traveled by ping pong ball in meters') xlabel('horixontal distance traveled (meters)') ylabel('vertical distance traveled (meters)')

% Create a program to plot the motion of the ping pong ball with drag. % The program will take inputs for velocity in m/s and angle of launch. % note that with a high speed camera I estmated a launch speed for a ping % pong ball could be 30 m/s. clear clc vel=input('input the initial velocity in m/sec: '); angle=input('input the angle of launch in degrees: '); % convert the degrees into radians so MATLAB likes it angle=anglepi/180; % set initial position and time x(1)=0; % meters y(1)=.01; % meters time(1)=0; % seconds mass=.00247; %kg ping pong ball .00247 Kg g=-9.8; % m/sec^2 c=-0.0005; % coefficient of drag with density and area in this constant index=1; % so I can load an array for plotting % start to increment the motion velx=velcos(angle); VelocityX(1)=velx; vely=velsin(angle); VelocityY(1)=vely; % set a time step deltaTime=.001 % seconds height=y(1); while height>=0 % it has not hit ground yet index=index+1; % break velocity into its components velx=velcos(angle); vely=vel*sin(angle); % *************************** % use an if/else statement to check to see if the ball is moving % down (negative). If it is, then drag has an opposite sign % as gravity in the acceleration formula. Otherwise gravity % and drag have the same sign. Calculated the acceleration % in the y direction inside the if/else statement. % Now calculate the acceleration in the x . % * % * % calculate the new velocity at the end of the time step % this will have X and Y components, so you need a variable % for each. One is velFinalX and the other is velFinalY. % * % % Get a new velocity vector and angle given the X and Y % The velocity is the variable "vel" and angle is "angle" %***************************** % now save my values at this time step time(index)=time(index-1)+deltaTime; VelocityX(index)=velFinalX; VelocityY(index)=velFinalY; % and distance numbers distX=velxdeltaTime; distY=velydeltaTime; % save distance values x(index)=x(index-1)+distX; y(index)=y(index-1)+distY; height=y(index); end plot(x,y) title('distance traveled by ping pong ball in meters') xlabel('horixontal distance traveled (meters)') ylabel('vertical distance traveled (meters)')

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter3: Input/output

Section: Chapter Questions

Problem 4PE: 4. During each summer, John and Jessica grow vegetables in their backyard and buy seeds and...

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Need help writing the code, the sections where ********************** are on top and bottom are what need to be completed.

% Create a program to plot the motion of the ping pong ball with drag.

% The program will take inputs for velocity in m/s and angle of launch.

% note that with a high speed camera I estmated a launch speed for a ping

% pong ball could be 30 m/s.

clear

clc

vel=input('input the initial velocity in m/sec: ');

angle=input('input the angle of launch in degrees: ');

% convert the degrees into radians so MATLAB likes it

angle=angle*pi/180;

% set initial position and time

x(1)=0; % meters

y(1)=.01; % meters

time(1)=0; % seconds

mass=.00247; %kg ping pong ball .00247 Kg

g=-9.8; % m/sec^2

c=-0.0005; % coefficient of drag with density and area in this constant

index=1; % so I can load an array for plotting

% start to increment the motion

velx=vel*cos(angle);

VelocityX(1)=velx;

vely=vel*sin(angle);

VelocityY(1)=vely;

% set a time step

deltaTime=.001 % seconds

height=y(1);

while height>=0 % it has not hit ground yet

index=index+1;

% break velocity into its components

velx=vel*cos(angle);

vely=vel*sin(angle);

% *******************************************************

% use an if/else statement to check to see if the ball is moving

% down (negative). If it is, then drag has an opposite sign

% as gravity in the acceleration formula. Otherwise gravity

% and drag have the same sign. Calculated the acceleration

% in the y direction inside the if/else statement.

% Now calculate the acceleration in the x .

% *******************************************************

% *****************************************************

% calculate the new velocity at the end of the time step

% this will have X and Y components, so you need a variable

% for each. One is velFinalX and the other is velFinalY.

% *******************************************************

% ******************************************************

% Get a new velocity vector and angle given the X and Y

% The velocity is the variable "vel" and angle is "angle"

%*******************************************************

% now save my values at this time step

time(index)=time(index-1)+deltaTime;

VelocityX(index)=velFinalX;

VelocityY(index)=velFinalY;

% and distance numbers

distX=velx*deltaTime;

distY=vely*deltaTime;

% save distance values

x(index)=x(index-1)+distX;

y(index)=y(index-1)+distY;

height=y(index);

end

plot(x,y)

title('distance traveled by ping pong ball in meters')

xlabel('horixontal distance traveled (meters)')

ylabel('vertical distance traveled (meters)')

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