How can I convert a speed profile to displacement graph

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Hariharan MK
Hariharan MK 2021-2-8
回答： Walter Roberson 2021-2-8
I have a speed graph that looks like the image below. The y-axis is in (m/s) and the x-axis is in (s). To generate the plot below i made use of 3 equations and applied the fplot function
max_spd = 4;
a = 2/3; %acceleration
fplot(@(x) (a)*x,[0 6],'g')
fplot(@(y) max_spd,[6 13.75],'g');
fplot(@(x) -(a)*x + (19.75)*(a),[13.75 19.75],'g')
How can I convert this velocity-time plot to a displacement-time graph?
so far I have this,
max_spd = 4;
a = 2/3; %acceleration
fplot(@(x) 0.5*(a*x)*x,[0 6],'k');
fplot(@(x) 4*x-(0.5*4*6),[6 13.75],'k');
fplot(@(x) 0.5*(-a)*x*x+(19.75)*a*x - (4*7.75) - (0.5*6*4),[13.75 19.75],'k');
which gives me this plot, is there a better function that will allow me to plot the displacement-time plot? Or is there a better method to perform this conversion?

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采纳的回答

Walter Roberson
Walter Roberson 2021-2-8
Ran in:
Don't use 3 functions.
max_spd = 4;
a = 2/3; %acceleration
fun = @(x) (0 <= x & x < 6) .* (a) .* x + ...
(6 <= x & x < 13.75) .* max_spd.*ones(size(x)) + ...
(13.75 <= x & x < 19.75) .* a .* (19.75-x);
fplot(fun, [0 20]); ylim([0 5])
Now you can process the single function that gives the speed into displacement, by integrating . Chances are that you will want cumulative output, so use something like cumtrapz()

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