Question

MATLAB

Write a user defined function for a projectile motion. If a ball is launched from initial position(0,0) with a velocity v0 at angle θ, determine your horizontal and vertical position. Please plot x vs. t, y vs. t and y vs. x.

Answer 1

theta_0 = 15:15:75;
t = 0:1/128:3;
g = 9.81;
V_0 = 5; % sets the initial velocity of the projectile

x_0_1 = V_0 .* cosd(theta_0);
y_0_1 = V_0 .* sind(theta_0);
x_0 = transpose(x_0_1);
y_0 = transpose(y_0_1);
x = x_0 * t;
time =[t;t;t;t;t];

y = y_0 *t - 0.5*g.*time.^2;
plot(x(1,:),y(1,:),'b')
hold on
plot(x(2,:),y(2,:),'r')
hold on
plot(x(3,:),y(3,:),'g')
hold on
plot(x(4,:),y(4,:),'Cyan')
hold on
plot(x(5,:),y(5,:),'Magenta')
xlabel('Horizontal distance, x, (m)')
ylabel('Height, y, (m)')
axis([0 3 0 max(y(5,:))])
legend('Initial angle=15°','Initial angle=30°','Initial angle=45°','Initial angle=60°','Initial angle=75°')%creates the legend of the graph

Figure 1 File Edit View Insert Tools Desktop Window Help Initial angle 15 Initial angle 30 Initial angle 45 Initial angle=60° Initial angle-75 0.8 0.6 0.2 0.5 1.5 Horizontal distance, x, (m) 2.5