How do i Plot average velocity from given velocity time data?
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Samson David Puthenpeedika
am 14 Nov. 2021
Kommentiert: Dave B
am 14 Nov. 2021
Below is the given question. I am not able to plot the below underlined part of the question.
Determine the distance traveled from a velocity function v(t) where the velocity is
explicitly given at the following time points:
t= [1 2 3.25 4.5 6 7 8 8.5 9 10];
v= [5 6 5.5 7 8.5 8 6 7 7 5];
Use the trapezoidal rule. In addition, determine the average velocity
Display in a figure with 2 subplots
• in the upper subplot showing the traveled distance over time as a black solid line,
• in the lower subplot showing the velocity data over time as a blue solid line and the
average velocity as a red dashed line over the time range
• with the corresponding titles, labels of the axes and legend (containing the average
velocity value).
t= [1 2 3.25 4.5 6 7 8 8.5 9 10];
v= [5 6 5.5 7 8.5 8 6 7 7 5];
d=trapz(t,v);
disp("Distance Travelled= "+d);
D=cumtrapz(t,v);
Vavg=(D(10)-D(1))/(t(10)-t(1));
disp("Average velocity= "+Vavg);
subplot(2,1,1)
plot(t,D,'k');
xlabel("Distance");
ylabel("Time")
title("Travelled Distance over Time");
subplot(2,1,2)
plot(t,v,'b',"DisplayName"," velocity");
hold on
plot(t,Vavg,'r',"DisplayName","Avg Velocity");
hold off
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Dave B
am 14 Nov. 2021
Bearbeitet: Dave B
am 14 Nov. 2021
You were very close, you don't see it because you've plotted a vector t against a scalar Vavg and MATLAB has interpreted this as creating 10 points (but there's no marker, so it's 10 lines each having no x or y span, so they're infinitely small and you can't see them).
plot(t([1 end]),[Vavg Vavg],'r',"DisplayName","Avg Velocity");
yline(Vavg,'r',"DisplayName","Avg Velocity")
2 Kommentare
Dave B
am 14 Nov. 2021
Happy to help. Just in case it comes up in the future, I thought it might be worth noting that you could also have done:
plot(t,repelem(Vavg, numel(t)),'r',"DisplayName","Avg Velocity");
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