How to find a intersecting point in a GUI?

Hello,

I've made a app which plots a projectile motion and a fixed line at y=2. See figure below.

I wish to mark the intersection point, and show the x-coordinate. Unfortunatly I don't know how.

My question is, how can I mark the intersecting point (and preferably show its x-coordinate)?

I've included the code to make te plot.

greetings,

Ries

        % Button pushed function: PlotButton
        function PlotButtonPushed(app, event)
            
            %formula and variables
            x0 = 0;
            y0= app.Y_0EditField.Value;
            v=app.VmsEditField.Value;
            angle=app.AngledegEditField.Value*(pi./180);
            g=9.81;
            t= 0:0.0001:3;
            x=x0+v*cos(angle)*t;
            y=y0+v*sin(angle)*t-(g*t.^2)/2;
            
            %Hold when 'hold'button is pressed
            
            if app.holdButton.Value==0
                
                hold(app.UIAxes, 'off')
            else
                hold(app.UIAxes, 'on')
            end
            
            %plot graph on GUI
            
            plot(app.UIAxes,x,y)
            yline(app.UIAxes,2);
            
            %axis appearance
            app.UIAxes.XMinorGrid = 'on'
            app.UIAxes.YMinorGrid = 'on'
            app.UIAxes.XGrid = 'on'
            app.UIAxes.YGrid = 'on'
            app.UIAxes.XLim = [0 4];
            app.UIAxes.YLim = [0 6];
            
        end

Answer 1

[Adam Danz]

I'm a big fan of this file exchange submission: [x0,y0] = intersections(x1,y1,x2,y2).

You can provide the (x,y) coordinates of the two lines and it will provide the intersection point.

"how can I mark the intersecting point (and preferably show its x-coordinate)"

hold on
plot(x0,y0,'m*')

or

xline(x0,'-k','xIntersection')
yline(y0,'-k','yIntersection')