How to plot derivative vectors on a parabolic trajectory?

Question

Alexander Hellberg 2021-3-15

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回答： Shubham Rawat 2021-3-22

Greetings

I have to plot a symple parabolic trajectory with the derivative vectors in different point. So far I have:

v = 20;
g = -9.81;
h = 50;
a = (1/2) * g;
b = v;
c = h;
tFinal = roots([a, b, c]);
t = [0:0.1:120];
x = v*t;
y = h + v*t + g*t.^2*(1/2);
dx = v;
dy= v +g*t;
plot(x, y)
axis([0 120 0 75])
hold on;

How can I add the velocity vectors for discrete (not important where) values of the trajectory?

Thank you so much!

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Answer 1

Shubham Rawat 2021-3-22

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Hi Alexander,

You may look at this code. I have created tangents at some points of the curve.

%at these point of time creating tangents
t2 = [0:1:120];
%determining slopes at each time frame
slope = (v+g*t2)/v;
delx = 7; %delta x
%points of tangents at each t2
x2 = v*t2; 
x22 = x2 + delx;
y2 = h + v*t2 + g*t2.^2*(1/2);
y22 = y2 + slope*delx;
%plotting the tangent
plot([x2;x22], [y2;y22], 'Color', 'r');