3rd derivative of position
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Hi.
I have question and I will appreciate If you could help me.
I want to calculate the third derivative of position for discrete numbers.
I used the below code for 2nd derivative and I want to know how is the 3rd?
dx = diff(x);dt=diff(t);
v_x = dx./dt;
dt2 = (dt(1:end-1)+dt(2:end))/2;
a_x = diff(v_x)./dt2;
v_x is velocity and a_x is acceleration
thanks
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Answers (2)
Azzi Abdelmalek
on 8 Aug 2014
Edited: Azzi Abdelmalek
on 8 Aug 2014
dt=t(2)-t(1)
dy=gradient(y,dt)
dy2=gradient(dy,dt)
dy3=gradient(dy2,dt)
t=t(1:end-3)
dy3=dy3(1:end-3)
plot(t,dy3)
%or using diff
t=0:0.1:2
y=t.^4
y3=diff(y,3)
dt=diff(t)
dy3=y3./dt(1:end-2)
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SHAHZAD
on 10 Oct 2022
v_x = dx./dt;
dt2 = (dt(1:end-1)+dt(2:end))/2;
a_x = diff(v_x)./dt2;
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