vertical throw in matlab?

So I have the following situation: Phase one: something is being accelerated using a spring with a certain lenght, hence gaining a certain velocity. Phase two: vertical throw with said starting velocity. My question: how am i able to plot these two phases (acc., velocity and position) in one graph? If I'd go with the classical approach learned in physics class I'd end up with two different equations for phase one and two, so how can i combine them? don't know if this makes sense since i am an absolute beginner at matlab. I tried plotting both phases separately but that kind of defeats its purpose. any tips?

[Mehmed Saad]

do you want to plot position against velocity and accelaration against velocity on 1 graph?

[Isak N.]

nope; velocity,acceleration and position against time

[Mehmed Saad]

velocity, accelaration and postition (3 plots) against time? like this

or this

[KALYAN ACHARJYA]

@Muhammad Saad right

[Isak N.]

like the first one! I'd like to have the time on the x-axis and the other quantities on the y-axis. But the thing i am struggling with is fitting two different equations for, lets say for instance: the position, into one graph. equation 1 is for phase one (t=0 until the time the spring stops accelerating my object) and equation 2 is for phase two (t=time the spring stops accelerating my object until t=object lands).

Answer 1

[Image Analyst]

I'd use three plots, all plotted with time as the x axis. Why? Because they could all have vastly different ranges! Let's say you dropped something from an airplane. The distance plot could range from 0 to 40,000 feet while the acceleration would be a constant 9.8 m/s^2. And velocity could be from 0 to 195 km/hour. So plotting the acceleration on the same plot as the position would make the acceleration plot virtually unnoticeable and the velocity barely noticeable. Of course you could do it if you want:

plot(t, acc, '-'); % Plot acceleration vs. time.
hold on;
plot(t, velocity, '-');
plot(t, position, '-');
legend('Acceleration', 'Velocity', 'Position');
grid on;
xlabel('Time', 'FontSize', 15);
ylabel('Accel, Velocity, or Position', 'FontSize', 15);

Answer 2

[Mehmed Saad]

Define three different times for acceleration, velocity and position if there time is different (remember that each time vector size must be equal to corresponding accelaration vector, velocity vector and position vector)

t_acc = starting_acc_point:sampling_time:ending_acc_point;
t_vel = starting_vel_point:sampling_time:ending_vel_point;
t_pos = starting_pos_point:sampling_time:ending_pos_point;

Now plot them

figure,plot(t_acc,acc),hold on,plot(t_vel,vel),hold on,plot(t_pos,pos)