I've been given a position vector and a time interval, and I would like to plot the speed(magnitude of the velocity) over the given time interval. Here is the code to setup the problem:
% Time
t = linspace(0, 2*pi, 1000)';% Position Vector
R_x = t.*cos(t);R_y = t.*sin(2*t);R_z = t;R = [R_x, R_y, R_z];% Velocity vector
R_x_prime = diff(R_x)./diff(t);R_y_prime = diff(R_y)./diff(t);R_z_prime = diff(R_z)./diff(t);R_prime = [R_x_prime, R_y_prime, R_z_prime];
So, to find the speed, I need to use norm(R_prime); however, that only returns one value (165.5). I've tried to write a for loop that saves the values of the magnitude of R_prime as an array, but the values just aren't correct. One final note: I have to use numerical differentiation. Thanks in advance for the help.
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