Write MATLAB code for height of projectile and range of projectile

Write MATLAB code for height of projectile and range of projectile

where theta varies from 0 to 90 degrees. And then plot graph of each

code.

[Steven Lord]

This sounds like a homework assignment. If it is, show us the code you've written to try to solve the problem and ask a specific question about where you're having difficulty and we may be able to provide some guidance.

If you aren't sure where to start because you're not familiar with how to write MATLAB code, I suggest you start with the MATLAB Onramp tutorial (https://www.mathworks.com/support/learn-with-matlab-tutorials.html) to quickly learn the essentials of MATLAB.

If you aren't sure where to start because you're not familiar with the mathematics you'll need to solve the problem, I recommend asking your professor and/or teaching assistant for help.

Answer 1

[Kautuk Raj]

We can write MATLAB code to calculate the height and range of the projectile for a range of launch angles, and then plot a graph of each. Code that demonstrates how to do this:

% Define the initial velocity and acceleration due to gravity
v = 10; % m/s
g = 9.81; % m/s^2
% Define the range of launch angles (in degrees)
theta_range = 0:90;
% Convert the launch angles to radians
theta = deg2rad(theta_range);
% Calculate the height and range for each launch angle
h = (v^2 * sin(theta).^2) / (2 * g);
R = (v^2 * sin(2*theta)) / g;
% Plot the height and range as a function of launch angle
figure;
plot(theta_range, h, 'b-', 'LineWidth', 2);
xlabel('Launch Angle (degrees)');
ylabel('Height (m)');
title('Height of Projectile vs. Launch Angle');
grid on;
figure;
plot(theta_range, R, 'r-', 'LineWidth', 2);
xlabel('Launch Angle (degrees)');
ylabel('Range (m)');
title('Range of Projectile vs. Launch Angle');
grid on;

The plots obtained are as follows: