MATLAB: I need the second plot to start from where the last point on the first plot left off. The graph is meant to be continuous across all three stages not broken up. Help please

Question

close all

clc;

%define variables

mi_1=2290000;

mf_1=130000;

tb_1=165;

Isp_1=263;

mi_2=496200;

mf_2=40100;

tb_2=360;

Isp_2=421;

mi_3=123000;

mf_3=13500;

tb_3=500;

Isp_3=421;

g=9.81; %acceleration due to gravity

%stage 1

t_1=linspace(0,165);

mr_1=mi_1-((mi_1-mf_1)*(t_1/tb_1));

u_1=g.*(Isp_1.*log(mi_1./mr_1)-t_1); %velocity function

a_1=gradient(u_1, t_1(2)-t_1(1)); %differentiation of velocity function to get acceleration

p_1= cumtrapz(t_1,u_1); %integration of velocity function to get position

%end of stage 1

%stage 2

t_2=linspace(165,525);

mr_2=mi_2-((mi_2-mf_2)*(t_2/tb_2));

u_2=g.*(Isp_2.*log(mi_2./mr_2)-t_2);

a_2=gradient(u_2, t_2(2)-t_2(1));

p_2= cumtrapz(t_2,u_2);

%end of stage 2

%stage 3

t_3=linspace(525,1025);

mr_3=mi_3-((mi_3-mf_3)*(t_3/tb_3));

u_3=g.*(Isp_3.*log(mi_3./mr_3)-t_3);

a_3=gradient(u_3, t_3(2)-t_3(1));

p_3= cumtrapz(t_3,u_3);

%end of stage 3

%position-time graph

figure

plot(t_1,p_1,'blue',t_2,p_2,'blue',t_3,p_3,'blue')

title('Position')

ylabel('height[m]')

xlabel('time[s]')

Answer 1

Just shift the plot by adding the previous segment's final y-value:

plot(t_1,p_1,'blue',t_2,p_2+p_1(end),'blue',t_3,p_3+p_1(end)+p_2(end),'blue')