Question

MATLAB,

please provide code script

Objective: Create a function file that animates projectile motion defined by the following equations in a subplot. Your function should accept user inputs of launch speed and launch angle. The output of your function will be a top subplot that displays height (y) as a function of x. The bottom subplot should display the vertical velocity while the projectile is in motion. A video of what your animation should look like is posted with this assignment. x = 5.*cos(@)*t y = -9/2*+2+S, *sin(0)*t tmax = 2*5./g*sin( Vvert = dy/dt = -g*t+S,sin(e) where: So is launch speed e is the launch angle g is acceleration due to gravity t is time tmax is the maximum time projectile is in flight Vvert is the vertical velocity x and y are horizontal and vertical coordinates of the projectile

Answer 1

MATLAB code:

% Asking the user to enter the value of speed

v0 = input("Enter the value of launch speed");

% Asking the user to enter value of angle

theta = input("Enter the value of angle in degree");

% converting degree to radian

theta = theta * pi / 180;

% Defining the value of t

t = 0 : 0.01 : 10;

% getting the remaining parameter

g = 9.8;

x = v0 * cos(theta) * t;

y = v0 * sin(theta) * t + (-0.5 * g * (t .^ 2));

tmax = 2 * v0 * sin(theta) / g ;

R = v0 * cos(theta) * tmax;

Vver = v0 * sin(theta) - (g * t);

% Subplotting the figure

plt1 = subplot(2,1,1);

xlabel('x')

ylabel('y')

title('y vs x')

axis([0 R+2 0 max(y)+2])

anim1 = animatedline('Color','r');

plt2 = subplot(2,1,2);

xlabel('t')

ylabel('v')

title('Velocity vs Time')

axis([0 2*tmax 0 max(Vver)+2])

anim2 = animatedline('Color','k');

for i = 1 : length(t)

addpoints( anim1 , x(i) , y(i)) ;

addpoints( anim2 , t(i) , Vver(i)) ;

drawnow

pause(0.001);

end

1 % Asking the user to enter the value of speed vo = input("Enter the value of launch speed"); 2 - 3 4 % Asking the user to enter value of angle theta = input("Enter the value of angle in degree"); 5 6 7 % converting degree to radian theta = theta * pi / 180; 8 - 9 10 % Defining the value of t t = 0 : 0.01 : 10; 11 - 12 13 14 - y = vO. % getting the remaining parameter g = 9.8; X = VO* cos(theta) * t; sin(theta) * t + (-0.5 * g tmax = 2 * VO * sin(theta) / g; R = vo * cos(theta) * tmax; Vver = vo * sin(theta) - (g t); * 15 16 17 18 19 20 21 (t .^ 2)); 22 23 24 25 26 27 % Subplotting the figure plt1 = subplot(2,1,1); x label('x') y label('y') title('y vs x') axis([O R+2 O max(y)+2]) anim1 = animatedline('Color', 'r');

plt2 = subplot(2,1,2); xlabel('t') y label('v') title('Velocity vs Time') axis([O 2* tmax max(Vver)+2]) anim2 = animatedline('Color', 'k'); 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 - for i = 1 : length(t) addpoints( animi , x(i),y(i)); addpoints( anim2 , t(i), Vver(i)); drawnow pause(0.001); 1 end

OUTPUT: (it will be animaated when you will run)

y vs x 3. 2 у 1 0 2 4 6 8 10 Velocity vs Time > 2 0 0.5 1.5 2 1 t